Food Research International 42 (2009) 200–209
Contents lists available at ScienceDirect
Food Research International
journal homepage: www.elsevier.com/locate/foodres
Influence of tempering and fat crystallization behaviours on microstructural
and melting properties in dark chocolate systems
Emmanuel Ohene Afoakwa a,b,*, Alistair Paterson a, Mark Fowler b, Joselio Vieira b
a
b
Centre for Food Quality, SIPBS, University of Strathclyde, Royal College Building, 204 George Street, Glasgow G1 1XW, Scotland, UK
Nestlé Product Technology Centre York, P.O. Box 204, Haxby Road, York YO91 1XY, England, UK
a r t i c l e
i n f o
Article history:
Received 3 June 2008
Accepted 19 October 2008
Keywords:
Differential scanning calorimetry
Tempering
Fat crystallization
Melting properties
Particle size distribution
Scanning electron microscopy
Chocolate
a b s t r a c t
Particle size distribution (PSD) and temper influences on dark chocolate fat crystallization were studied
using differential scanning calorimetry (DSC) and microscopy to establish relationships with their melting properties and microstructure. Variations in PSD had no influence on crystallinity of products at all
temper regimes. Particle size (PS) increases had limited effects on Tonset, Tpeak, and DHmelt independent
of temper regime but significant decreases in Tend and Tindex were noted. Contrary, varying temper regime
influenced the crystallinity and melting properties (Tend, Tindex and DHmelt) of products. Under-tempered
chocolate showed widened crystal size distribution (CSD) with significant changes in Tend, Tindex and
DHmelt of products. Over-tempering caused moderate increases in CSD and melting properties, with significant effect on Tend, Tindex and DHmelt but no changes were noted in Tonset, Tpeak of products. Fat–sugar
melting profiles showed similar levels in all products independent of temper regime, suggesting fat
and sugar components are present in similar amounts in under-, over- and optimally-tempered products.
Micrographs revealed clear crystalline network structure and well defined inter-crystal networks among
tempered and over-tempered samples. Under-tempered products showed re-arrangement and re-crystallization of unstable fat crystals to smaller numbers of larger agglomerates with formation of solid
bridges between the crystalline network structures. Attainment of optimal temper regime during precrystallization of dark chocolate is necessary for the achievement of premium quality products and avoidance of defects in structure and melting character.
Ó 2008 Elsevier Ltd. All rights reserved.
1. Introduction
Chocolate is a multi-component system consisting of cocoa
powder and sucrose (total solids of 65–75%) in a continuous fat
phase, primarily composed of cocoa butter. During chocolate manufacture, tempering – a technique of controlled pre-crystallization
is used to induce a more thermodynamically stable polymorphic
form of cocoa butter to effect good product snap, contraction, gloss
and shelf-life characteristics. Pre-crystallization of a small proportion of triglycerides forms nuclei for the remaining lipid to set in an
appropriate form, through nucleation that is highly dependent on
the shear-temperature–time parameter combinations. Important
physical and functional characteristics (i.e., texture, snap and gloss)
of chocolate products are dictated by the crystal network formed
by its constituent lipid during crystallization (Afoakwa, Paterson,
& Fowler, 2007; Campos, Narine, & Marangoni, 2002; Marangoni
* Corresponding author. Address: Centre for Food Quality, SIPBS, University of
Strathclyde, Royal College Building, 204 George Street, Glasgow G1 1XW, Scotland,
UK. Tel.: +44 (0) 7984288727.
E-mail addresses:
[email protected], e.afoakwa@strath. ac.uk (E.O. Afoakwa).
0963-9969/$ - see front matter Ó 2008 Elsevier Ltd. All rights reserved.
doi:10.1016/j.foodres.2008.10.007
& Narine, 2002). In industrial chocolate manufacture, tempering
is crucial, influencing quality characteristics such as colour,
hardness, handling, finish and shelf-life characteristics (Afoakwa,
Paterson, Fowler, & Vieira, 2008a; Altimiras, Pyle, & Bouchon,
2007; Debaste, Kegelaers, Liégeois, Ben Amor & Halloin, 2008;
Herrera & Hartel, 2000; Nelson, 1999; Pérez-Martínez, AlvarezSalas, Charo-Alonso, Dibildox-Alvarado & Toro-Vazquez, 2007;
Toro-Vazquez, Pérez-Martinez, Dibildox-Alvarado, Charo-Alonso
& Reyes-Hernandez, 2004).
Polymorphism – the existence of two or more distinct crystalline forms of the same substance – is a critical concept in the study
of fat crystal structure. Cocoa butter crystallizes in different forms
as a function of processing condition, time and temperature of storage, as follows: six polymorphic forms (I–VI), have been identified,
the principals being a, b and b’. The unstable forms I (m.p. 16–
18 °C) and II (22–24 °C) transform slowly into III (24–26 °C) and
IV (26–28 °C), all possessing less stable polymorphs but upon optimal tempering sets in a more stable form V (32–34 °C) polymorph
(Beckett, 2000; Loisel, Lecq, Keller, & Ollivon, 1998; Timms, 1984;
Willie & Lutton, 1966). Form V, a b polymorph, most desirable
and found in optimal-tempered chocolate, gives glossy appearance,
good snap, contraction and resistance to bloom (Beckett, 1999).
E.O. Afoakwa et al. / Food Research International 42 (2009) 200–209
Form VI, the most stable, is difficult to generate but formed on
lengthy chocolate storage, accompanied by fat bloom, melts at
34–36 °C, and has crystals experienced as large and gritty on the
tongue. All these polymorphic forms could be formed directly from
melted TAGs, or via melt-mediated or solid-state monotropic phase
transformations (Marangoni, 2002). Phase transitions in cocoa butter polymorphs from less to more stable are irreversible and dependent on temperature and time. Polymorphism in relation to solid
continuous phases of cocoa butter has a large impact on chocolate
quality, dictating their structural properties (Schenk & Peschar,
2004). Structural factors such as microstructural elements and
microstructure characteristics can provide quantitative information about the mechanical properties of the network, and therefore
information about the sensory hardness of the network (Narine &
Marangoni, 1999a). Polymorphic changes can be observed as overall contraction of chocolate, appearance, or undesirable fat bloom
formation dependent on relative stabilities of crystal forms and
temperature.
Fat crystallization is a complex process influenced by processing
conditions that determines chocolate microstructure and physical
properties (Bell, Gordon, Jirasubkunakorn, & Smith, 2007; Campos
et al., 2002; Himawan, Starov, & Stapley, 2006; Pérez-Martínez
et al., 2007). Hartel (2001) noted that the control of crystallization
is critical for texture, melting properties and other quality characteristics. Melting profiles of chocolates have been studied using
pulsed nuclear magnetic resonance (pNMR) and differential scanning calorimetry (DSC) (Smith, Cain, & Talbot, 2007; Tabouret,
1987; Walter & Cornillon,2001, 2002). As information on cocoa butter isothermal phase behaviour during chocolate manufacture is
important for optimizing production processes that maintain product quality (Foubert, Dewettinck, & Vanrolleghem, 2003; Marangoni
& McGauley, 2003), this work would provide vital information on
the effects of changes in processing conditions on the microstructure and melting properties of fat systems during industrial chocolate manufacture. Additionally, it would provide valuable quality
control indicators to ensure the structure and melting properties
of fat networks being produced on a production line during dark
chocolate manufacture are consistent and would yield the desired
mechanical and sensory qualities during post-processing handling,
supply-chain management and consumption.
The objective of this study was to investigate the influences of
tempering and fat crystallization behaviours on melting properties
and crystallized network microstructure in dark chocolates varying
in particle size distribution.
2. Materials and methods
2.1. Materials
Cocoa liquor of Central West African Origin was obtained from
Cargill Cocoa Processing Company (York, UK); sucrose (pure extra
fine granulated) from British Sugar Company (Peterborough, UK);
pure prime pressed cocoa butter and soy lecithin from ADM Cocoa
Limited (Koog aan de Zaan, Netherlands) and Unitechem Company
Ltd. (Tianjin, China), respectively.
The recipe, formulation and production of samples were as described previously (Afoakwa, Paterson, & Fowler, 2008). Chocolates
were formulated with total fat of 35% (w/w) from cocoa liquor and
cocoa butter. Experimental samples (5 kg batch for each formulation) were produced by mixing sucrose and cocoa liquor in a Crypto Peerless Mixer (Model K175, Crypto Peerless Ltd, Birmingham,
UK) at low speed for 2 min and then at high for 3 min, then using
a 3-roll refiner (Model SDX 600, Buhler Ltd., CH-9240 Uzwil,
Switzerland) to a specified particle size (D90 [90% finer than this
size]: 18 ± 1 lm, 25 ± 1 lm, 35 ± 1 lm and 50 ± 1 lm) conducting
201
particle size analysis, during refining, to ensure D90 values. The
refined chocolates were melted at 50–55 °C for 24 h and the chocolate mass conched in a Lipp Conche (Model IMC-E10, Boveristr
40-42, D-68309, Mannhein, Germany) at low speed for 3.5 h at
60 °C. Lecithin and cocoa butter were added and mixed then conched at high speed for 30 min to effect adequate mixing and liquefaction. Samples were kept in sealed plastic containers under
ambient temperature (20–22 °C) and moisture and fat contents
determined using Karl Fischer and Soxhlet methods (ICA, 1988, 1990).
2.2. Determination of particle size distribution
A MasterSizerÒ Laser Diffraction Particle Size Analyzer
equipped with MS 15 Sample Presentation Unit (refractive index
1.590) (Malvern Instrument Ltd., Malvern, England) was used.
About 0.2 g of refined dark chocolate was dispersed in vegetable
oil (Refractive index 1.450) at ambient temperature (20 ± 2 °C) until an obscuration of 0.2 was obtained. The sample was placed under ultrasonic dispersion for 2 min to ensure particles were
independently dispersed and thereafter maintained by stirring
during the measurement. Size distribution was quantified as the
relative volume of particles in size bands presented as size distribution curves (Malvern MasterSizerÒ Micro Software v 2.19).
PSD parameters obtained included specific surface area, largest
particle size (D90), mean particle volume (D50), smallest particle
size (D10) and Sauter mean diameter (D[3,2]).
2.3. Tempering experiment
Samples were incubated at 50 °C for 4 h for melting and tempered using Aasted Mikrovert laboratory continuous three-stage
tempering unit (Model AMK 10, Aasted Mikroverk A/S, Farum,
Denmark). Chocolate was pumped through the multi-stage units
and a worm screw drove the product through the heat exchangers.
Sensors located at specific points in the equipment measured the
temperature of both the chocolate and the coolant fluid at each
stage. Based on our earlier work modelling temperature controls
to study tempering behaviour (Afoakwa, Paterson, Fowler, & Vieira,
2008b), the temperature of each of the coolant fluids (Zones 1:2:3)
were thus set as 26:24:32 °C, 21:19:32 °C and 18:16:32 °C, respectively, for attaining the under-tempered, optimally-tempered and
over-tempered regimes. The degree of pre-crystallization was
measured using a computerized tempermeter (Exotherm 7400,
Systech Analytics, Neuchâtel, Switzerland) and a built-in algorithm
provided the tempering curves and temper readings in chocolate
temper index (Slope), corresponding to optimal temper (Slope 0),
under-temper (Slope 1.0) and over-temper regimes (Slope 1.0).
The principle of this method has been described by Nelson
(1999). Chocolate from the three regimes were moulded using
plastic moulds: 80 mm length; 20 mm breadth; and 8 mm height.
The final products were allowed to cool in a refrigerator (10 ± 2 °C)
for 2 h before de-moulding onto plastic trays and conditioned at
20 ± 2 °C for 14 days before analysis. Triplicate measurements
were taken for each product composition and the mean values
were recorded.
2.4. Determination of melting properties
Differential scanning calorimeter (DSC Series 7, Perkin Elmer
Pyris, Norwalk, CT, USA) equipped with a thermal analysis data station was calibrated using indium and octadecane at a scan rate of
5 °C/min using an aluminium pan as reference. Samples (5 mg)
were loaded into 40 ll capacity pans with holes, which were sealed
with lids using a sample press. Pans were heated at 5 °C/min from
15–55 °C in a N2 stream. Onset temperature (Tonset), peak temperature (Tpeak), end temperature (Tend) and enthalpy of melting
202
E.O. Afoakwa et al. / Food Research International 42 (2009) 200–209
(DHmelt) were calculated automatically by the software. Melting index (Tindex) was computed as (Tend Tonset), and measures duration
of melting as described by Vasanthan and Bhatty (1996) and
Afoakwa, Paterson, Fowler, and Vieira (2008c). Each sample was
analysed in triplicate and mean values and standard deviations
reported.
Thermal behaviour of fat and sugar components in samples
from the different temper regimes were analysed using DSC. Pans
containing 5 mg were heated at 10 °C/min from 15 to 200 °C in a
N2 stream and melting profiles of the fat and sugar calculated by
the software. To calculate the DHmelt sugar/DHmelt fat ratio, the
melting enthalpy of the sugar was divided by the melting enthalpy
of the fat peak, technique reported to provide information on the
possible structural changes in the fat and/or sugar components in
bloomed chocolates (Lonchampt & Hartel, 2006). Triplicate analyses were conducted and mean value and standard deviation
reported.
3. Results and discussion
3.1. Particle size distribution
The volume histograms (Fig. 1) show narrow (18 lm PS) and
wide (25 lm PS) bimodal and narrow (35 lm PS), and wide
(50 lm PS) multimodal size distributions. This PSD range 18–
50 lm using D90 values (>90% finer) covers optimum minimum
and maximum sizes ranging, respectively, from very fine to coarse
particles as detected by micrometer screw gauge (Ziegler & Hogg,
1999), and have direct effects on rheology, texture and sensory
character of chocolates in manufacture (Afoakwa, Paterson, Fowler,
& Vieira, 2008d; Beckett, 2000). Data from the PSD (reported previously – Afoakwa, Paterson, & Fowler, 2008) showed variations
in specific surface area, mean particle volume D(v,50), Sauter mean
(D[3,2]) and mean particle diameter (D[4,3]) with increasing D90
particle sizes. Increasing D90 from 18 to 50 lm led to significant
reduction in specific surface area, with increases in Sauter mean
and mean particle diameter. This explains that the largest PS
(D90) is directly proportional to the D10, D50, Sauter mean diameter
(D[3,2]) and mean particle diameter (D[4,3]), and inversely proportional to specific particle surface area. As size increases, particles
become more spherical, leading to broadening of PSD with consequential increases (from narrow to wide) in their size and number
of modal distributions and reduction in solid loading. Reduction in
specific surface area with increasing particle sizes of component
PSD have been reported (Ziegler & Hogg, 1999). Beckett (1999)
concluded that the largest particle size and solids specific surface
area are the two key parameters in chocolate manufacture. The former determines coarseness and textural character, the latter desirable flow properties. Specific surface area is inversely correlated
with a component of PSD (Afoakwa, Paterson, & Fowler, 2008;
Beckett, 1999; Sokmen & Gunes, 2006; Ziegler & Hogg, 1999).
2.5. Scanning electron microscopy
Microstructural studies were carried out on optimally-, underand over-tempered chocolates after 14 days in storage using a
1200 EX JEM scanning electron microscopy (SEM; Joel Ltd., Akishima, Japan). Sectioned samples (20 20 mm) were lyophilized
(Heto Model DW3, Allerød, Denmark), then transferred and separately placed on grids with the help of double-sided tape, sputter-coated with gold (2 min, 2 mbar). Microstructures were
observed at 5 kV and 9.75 105 Torr vacuum taking 12 micrographs for each section (500, 1500 and 2500) showing typical
micrographs for each temper regime.
2.6. Experimental design and statistical analysis
Two experimental variables (temper regime and PSD) were varied keeping refiner temperature and pressure, conching time and
temperature constant. A 3 4 factorial experimental design was
used comprising; temper regime: optimal-, under- and over-temper, and PSD (D90): 18, 25, 35 and 50 lm. Statgraphics Plus 4.1
(STCC, Inc, Rockville, USA) examined melting properties (Tonset, Tend,
Tindex, Tpeak, DHmelt) using two-way ANOVA and multiple range tests
to determine effects and interactions of the factors. Tukey multiple
comparisons (95% significance) determined differences between
levels. Mean values of triplicate experiments were reported.
3.2. Fat crystallization behaviours during tempering
Three different temper regimes (under-, over- and optimal tempering) characterized (Fig. 2) with unique crystallization behaviours were studied. In optimal tempering, the temperature of the
chocolate dropped rapidly during cooling until reaching thermodynamic equilibrium. At this point, the crystallization heat released is
balanced by an equal amount of cooling energy rending a rather
flat time–temperature curve (with a zero slope). The equilibration
10
Volume (%)
8
6
4
d
c
b
2
a
0
0.1
1.0
10.0
100.0
1000.0
Particle Diameter (µm)
Fig. 1. Particle size distribution of dark chocolate with D90 of (a) 18 lm; (b) 25 lm; (c) 35 lm and (d) 50 lm.
203
E.O. Afoakwa et al. / Food Research International 42 (2009) 200–209
31
Optimally-tempered
29
Over-tempered
Under-tempered
27
Temperature (°C)
25
23
21
19
17
15
1
61
121
181
241
301
361
421
481
Time (sec)
Fig. 2. Pre-crystallization curves of the different temper regimes (18 lm PS).
temperature attained promotes formation of stable fat crystals,
which subsequently undergo further growth and maturity during
cooling and storage to effect shelf stability of the product. The temperature of the chocolate then dropped further when the liquid cocoa butter was transformed into solid crystals resulting in
solidification of the products (Fig. 2). Foubert et al. (2003) noted
that fat crystallization process can also be followed by means of
viscosity changes as function of time. Before crystallization starts,
the melt shows Newtonian behaviour. With the formation and
growth of crystals, the viscosity increases almost linearly with
the amount of crystals in the suspension until it reaches a thermodynamic equilibrium (Breitschuh & Windhab, 1998). This technique has also been used by Loisel et al. (1998), Toro-Vazquez
et al. (2000), Chen, Lai, Ghazali, and Chong (2002) to follow the isothermal crystallization of refined palm oil, chocolate and palm
stearin in sesame oil, respectively.
Under-tempering (insufficient tempering) was caused by the
relatively higher temperatures released between the multi-stage
heat exchangers during tempering. The process causes development of more crystallization heat within the product during solidification, effecting quick cooling, as more liquid fat is transformed
quickly into solid form. The distinct increase in temperature observed at the beginning of the crystallization, declined again after
reaching a maximum point where most of the stable crystals
formed were re-melted prior to cooling, resulting in the formation
of very few stable fat crystals (Fig. 2). Previous studies revealed
that un-tempering – another insufficient temper regime, produced
no stable fat crystals as the heat exchange system generated higher
crystallization heat during cooling, resulting in consistent cooling
of the completely melted product with no inflexion point for stable
fat crystal formation (Afoakwa et al., 2008a). Beckett (2000)
explained that the crystallization processes in both un-tempered
and under-tempered chocolates lead to the formation of unstable
ðb01 Þ polymorph, which later transforms into more stable Form VI
(b1) polymorph during storage. Additionally, it was noted (Afoakwa
et al., 2008a) that un-tempering and under-tempering regimes exhibit different crystallization behaviours but results in similar
unstable fat crystal nucleation and growth, with similar associated
storage polymorphic transformations and defects in textural properties and appearance of products.
Over-tempering occurred when relatively lower temperatures
were exchanged between the multi-stage heat exchangers of the
tempering equipment. This causes significant part of the liquid
fat to solidify within the continuous phase of the chocolate, transforming the product into solid form when less liquid fat was available for pumping it through the multiple coolant regions of the
204
E.O. Afoakwa et al. / Food Research International 42 (2009) 200–209
temperer. The process effects very slow cooling as very little crystallization heat is released during the process, rendering a rather
flat and slow cooling curve causing the chocolate to solidify very
quickly (Fig. 2). In over-tempering, the crystallization heat released
is balanced by an equal amount of cooling energy causing nucleation of stable fat crystals (b2) to effect shelf stability of the product. However, the period of equilibrium is very short relative to
that of optimal tempering, and this is suspected to affect the crystal size, mass (number), strengths and adequacy of the fat crystals
formed and thus possible defects in structure and product shelf
stability (Hartel, 2001; Lonchampt & Hartel, 2006). As a substantial
part of the phase transition (from liquid to solid) took place before
the chocolate reached the mould, less contraction occurred in the
mould, leading to de-moulding problems with defects in final
product texture and appearance (gloss and colour) and consequential effects on shelf-life of products (Afoakwa et al., 2008a; Lonchampt & Hartel, 2004).
3.3. Effect of temper regime and PSD on melting properties
3.3.1. Effects of temper regime
Fig. 3 shows typical DSC thermograms used for evaluating the
melting properties of dark chocolates manufactured from the
optimally-, over- and under-tempered regimes. Similar to previous reports (Afoakwa et al., 2008c; Walter & Cornillon, 2002), all
the samples exhibited similar distinct single endothermic transitions between 15 and 55 °C, the range expected for chocolate
melting profiles. McFarlane (1999) explained that peak onset corresponds to the temperature at which a specific crystal form starts
to melt; peak maximum, that at which melting rate is greatest;
and end of melting, completion of liquefaction – all these information are related to the crystal type. Peak height, position and resolution are dependent on sample composition and crystalline
state distribution.
Data from the DSC (Fig. 3) showed that differences in temper regime produced changes in crystallinity and melting properties, observed in the differences in their peak widths. These suggest that
variations in crystallization behaviour in dark chocolates during
tempering influence the degree of crystallinity of their derived
products. Under-tempered (bloomed) chocolates showed the
greatest peak width, followed by the over-tempered samples having slightly wider crystal formation than the optimally-tempered
products with resultant variation in their melting profiles (Fig. 3).
Hartel (2001) concluded that arrangement and distribution of crystallinity (total and specific characteristics of crystalline material) in
foods play key roles in final product quality. Number of crystals
and range of sizes, shapes, and polymorphic stability, as well as
arrangements in network structures dictates mechanical and rheological properties. Knowledge and control of crystallinity during
chocolate manufacture can be important for optimizing processing
conditions.
Data from the DSC on Tonset, Tend, Tpeak, DHmelt and Tindex in relation to temper regime (Table 1) analysed by ANOVA and multiple
comparison tests showed significant (P < 0.05) differences for Tonset
and Tpeak differing in temper regime (Table 2) and highly significant
differences (P < 0.001) among Tend, Tindex and DHmelt (Table 2). The
differences in temper yielded mean Tend values of 33.0, 33.7 and
35.9 °C, respectively, for the optimally, over- and under-tempered
chocolates. There was a significant (P < 0.05) inverse relationship
between Tend and PSD (Table 2). Such observations suggest that
under-tempered chocolate completed melting at higher temperatures than optimally and over-tempered products. As Tend values
provides representation of the melting point of the product and
can be used as a measure of polymorphic status (Afoakwa, Paterson,
& Fowler, 2007; Beckett, 2000; Marangoni & McGauley, 2003), the
changing Tend values the samples revealed that the crystallites in
optimally and over-tempered were in ßV polymorph while that
of under-tempered in ßVI. Similarly, under-tempered (bloomed)
chocolate had higher Tindex values of 8.8, 8.7, 8.5 and 8.2 °C inversely related to PS from 18 to 50 lm, while the optimal and overtempered products had Tindex ranges of 7.1–6.0 °C, and from 7.6
to 6.6 °C, respectively, suggesting that the under-tempered chocolate took longer to melt than the optimally and over-tempered
products. Values for Tindex has been reported to provide information
4.5
Optimally-tempered
Normalized Heat Flow (W/g)
4.3
Over-tempered
Under-tempered
4.1
3.9
3.7
3.5
3.3
15
17.433
21.183
24.933
28.683
32.433
36.183
39.933
43.683
47.433
51.183
54.933
Temperature (°C)
Fig. 3. Typical DSC thermograms showing fat melting profile of tempered, over-tempered and under-tempered (bloomed) dark chocolates at 18 lm PS.
205
E.O. Afoakwa et al. / Food Research International 42 (2009) 200–209
Table 1
Effect of temper regime and particle size distribution on melting properties.
Temper regime
Particle size (D90) (lm)
Melting properties
Tonset (°C)
Tend (°C)
Tindex (°C)
Tpeak (°C)
DHmelt (J/g)
Tempered
18
25
35
50
26.5 ± 0.4
26.4 ± 0.3
26.6 ± 0.2
26.5 ± 0.4
33.6 ± 0.3
33.3 ± 0.4
32.7 ± 0.3
32.5 ± 0.4
7.1 ± 0.2
6.7 ± 0.4
6.1 ± 0.2
6.0 ± 0.4
31.9 ± 0.1
31.7 ± 0.2
31.7 ± 0.1
31.8 ± 0.2
37.73 ± 0.65
37.56 ± 0.92
36.87 ± 0.58
36.76 ± 0.72
Over-tempered
18
25
35
50
26.6 ± 0.2
26.5 ± 0.4
26.7 ± 0.2
26.6 ± 0.3
34.2 ± 0.3
33.8 ± 0.4
33.5 ± 0.2
33.2 ± 0.4
7.6 ± 0.2
7.3 ± 0.4
6.8 ± 0.2
6.6 ± 0.4
32.6 ± 0.2
32.7 ± 0.1
32.5 ± 0.2
32.6 ± 0.2
41.26 ± 0.61
40.42 ± 0.88
40.47 ± 0.57
40.36 ± 0.52
Under-tempered
18
25
35
50
27.4 ± 0.2
27.3 ± 0.4
27.2 ± 0.2
27.4 ± 0.3
36.2 ± 0.3
36.0 ± 0.4
35.7 ± 0.3
35.6 ± 0.4
8.8 ± 0.2
8.7 ± 0.4
8.5 ± 0.2
8.2 ± 0.4
33.8 ± 0.2
33.7 ± 0.1
33.6 ± 0.2
33.6 ± 0.1
44.45 ± 0.88
44.10 ± 0.51
43.87 ± 0.86
43.80 ± 0.58
Means ± standard deviation from triplicate analysis.
Table 2
ANOVA summary of F-values of melting properties.
Process variables
Tonset (°C)
Tend (°C)
Tpeak (°C)
Tindex (°C)
DHmelt (J/g)
A: particle size (D90)
B: temper regime
AB
1.78
198.75***
1.18
12.17*
261.19***
2.45*
3.74
22.57**
7.26***
34.73**
1107.80***
160.33***
6.96
462.78***
3.67**
*
**
***
Significant F-ratios at P 6 0.05.
Significant F-ratios at P 6 0.01.
Significant F-ratios at P 6 0.001.
on the duration of melting as measured by the DSC, with possible
impacts on melting behaviour during consumption (Afoakwa et al.,
2008c).
Multiple comparison tests showed that the over-tempered samples took longer to melt than the optimally-tempered. It is predicted that these would have likely impact on their behaviour
during consumption, attributable to the relative strengths of their
mechanical properties (hardness and stickiness). Similarly, undertempered chocolate had higher DHmelt values at all PS than the
optimally- and over-tempered products (Table 1), with significant
(P < 0.05) interactions with PS. The observed differences in melting
behaviour of under-, over- and optimally-tempered chocolates
have been attributed to their reported variations in structure and
mechanical properties (Afoakwa et al., 2008a). Under-tempered
chocolates were reported to possess the greatest hardness (texture), attributable to the re-crystallisation process undergone by
the fat resulting in intense hardening of products. Further multiple
comparison test revealed that over-tempered chocolates showed
higher Tindex and DHmelt than the optimally-tempered, a significant
finding for process quality control. This could also be attributed to
the over-tempered products possessing relatively higher mechanical properties than their corresponding optimally-tempered products, probably due to the reported differences in their fat
crystallization behaviour resulting different fat crystal network
structure. The extent of fat crystal network organization during
tempering has been reported to influence the mechanical properties of their derived confectionery products (Campos et al., 2002;
Marangoni & Narine, 2002).
3.3.2. Effects of particle size distribution
In chocolate, PSD influences rheological, melting and microstructural properties as well as texture in tempered products
(Afoakwa et al., 2008d; Afoakwa, Paterson, Fowler, & Vieira,
2008e; Beckett, 2008; Do, Hargreaves, Wolf, Hort, & Mitchell,
2007). In this study, peak shapes and sizes were similar with all values for PSD suggesting only little or no differences in crystallinity
between them. Examination of important DSC parameters (Table
1) – Tonset, Tend, Tpeak, DHmelt and Tindex – suggested increasing PS
from 18 to 50 lm yielded no significant (P = 0.2782) changes in Tonset, for any temper regime (Table 2), with values in the ranges of
26.5–26.6 °C, 26.5–26.7 °C and 27.2–27.4 °C, respectively, for the
optimally, over- and under-tempered chocolate. Similar observations were made for Tpeak (Table 1) – ranging from 31.7 to
31.9 °C, 32.1 to 32.3 °C and 33.6 to 33.8 °C for the optimally, overand under-tempered chocolates. Similarly, DHmelt in products with
increasing PS from 18 to 50 lm decreased marginally from 37.73 to
36.76, 41.26 to 40.36 and 44.45 to 43.80 J/g in the optimally,
over- and under-tempered products, respectively, (Table 1), with
insignificant differences (P > 0.05) in PS found at all temper regimes. The lack of significant relationship between PS and DHmelt,
implies that enthalpy of melting was similar for chocolates at all
PS independent of temper regime.
In contrast, varying PS had significant effects on Tend and Tindex
with general inverse relationships between particle size and Tend,
and Tindex, at all temper regime (Table 1). Optimally-tempered
products with smaller PS (18 lm) had Tend value of 33.6 °C, and decreased consistently to 32.5 °C in the 50 lm samples, representing
a difference of 0.9 °C. Similar marginal but significant (P < 0.05)
decreasing trends in Tend with increasing PS were observed with
both the over-tempered and under-tempered (bloomed) samples
(Table 2). These findings suggested that dark chocolates with larger
PS (50 lm) require slightly lower temperatures to complete melting than the smaller PS (18 lm) products at all temper regimes.
Chocolates with smaller PSD (D90, 18 lm) have been found to contain higher particle-to-particle strengths with resultant increases
in hardness (texture) than their corresponding larger PSD (D90,
50 lm) (Afoakwa et al., 2008b, 2008c; Do et al., 2007). Similar
inverse relationships were observed between Tindex and PS at all
temper regimes. The data (Table 1) showed that increasing PS for
18–50 lm in the optimally-tempered products caused significant
(P 6 0.05) reductions in Tindex from 7.1 to 6.0 °C, respectively,
and similar trends were noted with the over-tempered and
206
E.O. Afoakwa et al. / Food Research International 42 (2009) 200–209
under-tempered (bloomed) products. ANOVA showed significant
(P < 0.001) influence of PS on Tend and Tindex with significant
interactions with temper regime (Table 2). Multiple comparison
test revealed significant differences (P = 0.001) between Tend of
products containing 18 lm, 35 lm and 50 lm, suggesting that
chocolates with finer particles (18 lm) would take relatively longer time to melt than their corresponding products with larger
particles (35 lm and 50 lm) independent of temper regime, attributable to the relative strengths of the inter-particle aggregations
and flocculation in the different PS products (Afoakwa et al.,
2008d; Marangoni & McGauley, 2003; Narine & Marangoni,
1999a, 1999b). Do et al. (2007) noted that quantitative decreases
in particle aggregation and structure in chocolate influence melting
behaviour suggesting that in its crystallized state, structures with
larger PS are less interconnected, providing less resistance to
breakage and melting. This could be important for predicting oral
melting behaviour with impacts on temporal components of flavour release and oral epithelial sensations.
mechanical and melting properties. The DSC thermograms (Fig. 4)
showed differences in fat melting profile, resulting from the widened peak width in the under-tempered (bloomed) sample; but
no differences were noted in the sugar melting profiles, suggesting
that blooming of under-tempered dark chocolate is associated with
structural transformations in the fat component alone while the
crystalline network of the sugar remains unchanged. The DSC data
on fat and sugar melting properties (Tonset, Tend, Tpeak, DHfat, DHsugar
and DHsugar/DHfat) related to temper regime (Table 3) were similar
to the trends for fat (Table 1). Fat melting profiles suggested the ßV
polymorph in both optimally and over-tempered chocolates with
Tend of 32.3 °C and 32.9 °C, respectively, and a more stable ßVI polymorph in under-tempered sample with Tend of 35.8 °C, showing
significant (P < 0.001) influences (Table 4) on Tonset, Tpeak, DHfat in
chocolates. Beckett (2008) explained that the melting points of
ßV and ßVI polymorphs of cocoa butter are in the ranges of 32–
34 °C and 34–36 °C, respectively.
Contrary, the results of the sugar melting properties (Table 3)
showed only marginal differences in all the melting properties
with varying temper regime. ANOVA showed no significant differences (P > 0.05) in all the studied melting properties (Tonset, Tend,
Tpeak, DHsugar) on chocolates from the three temper regimes (Table
4), suggesting that no structural change in sugar were found in
products from the three temper regimes. Similarly, the ratios of sugar to fat melting enthalpies in products from optimal, over- and
under-tempered samples were 1.25, 1.24 and 1.17, respectively,
(Table 3), with no significant different (P = 6.853) among them
3.4. Thermal behaviours and ratio of sugar/fat melting enthalpies
in products
Thermal behaviours and ratio of sugar/fat melting enthalpies in
chocolates differing in temper regime were studied using DSC to
provide information on differences in structure. Marangoni &
McGauley (2003) explained that the structure of fat in a food product is an important property that strongly influences its perceived
B
A
3.9
Optimally-tempered
Over-tempered
Normalized Heat Flow (W/g)
3.4
Under-tempered
2.9
2.4
1.9
1.4
15
25
39.666
54.333
69
83.666
98.333
113
127.666 142.333
157
171.666
186.333
201
Temperature (°C)
Fig. 4. Typical DSC thermograms showing (A) fat and (B) sugar melting profiles of tempered, over-tempered and under-tempered (bloomed) dark chocolates at 18 lm PS.
Table 3
Thermal properties of fat and sugar components in dark chocolates from different temper regimes.
Temper regime
Tempered
Over-tempered
Under-tempered
Fat melting properties
Sugar melting properties
Sugar/fat relations
Tonset (°C)
Tend (°C)
Tpeak (°C)
DHmelt (J/g)
Tonset (°C)
Tend (°C)
Tpeak (°C)
DHmelt (J/g)
DHsugar/DHfat
26.2 ± 0.24
26.4 ± 0.18
27.3 ± 0.53
32.3 ± 0.44
32.9 ± 0.28
35.8 ± 0.19
30.8 ± 1.04
31.4 ± 0.83
33.5 ± 0.71
37.60 ± 0.66
39.58 ± 0.42
42.07 ± 0.73
179.43 ± 0.43
178.85 ± 0.18
178.21 ± 0.47
191.98 ± 0.39
191.34 ± 0.83
190.82 ± 0.50
188.83 ± 0.52
187.37 ± 0.74
186.87 ± 0.58
50.64 ± 0.64
49.13 ± 0.47
49.16 ± 0.76
1.25 ± 0.21
1.24 ± 0.34
1.17 ± 0.28
Means ± standard deviation from triplicate analysis.
207
E.O. Afoakwa et al. / Food Research International 42 (2009) 200–209
Table 4
ANOVA summary of F-values of fat and sugar thermal properties.
Process variable
Temper regime
*
**
Fat melting properties
Sugar melting properties
Sugar/fat relations
Tonset (°C)
Tend (°C)
Tpeak (°C)
DHmelt (J/g)
Tonset (°C)
Tend (°C)
Tpeak (°C)
DHmelt (J/g)
DHsugar/DHfat
12.41*
42.83**
3.86*
32.89**
2.07
1.52
2.54
3.28
1.95
Significant F-ratios at P 6 0.05.
Significant F-ratios at P 6 0.001.
(Table 4). The lower DHsugar/DHfat ratio noted in the under-tempered sample resulted from the higher DHfat as a result of re-crystallization of fat (Hartel, 2001; Lonchampt & Hartel, 2004). These
findings support our earlier report that fat and sugar components
are present in similar quantities in both bloomed and optimallytempered dark chocolates, but contrast with the report of Lonchampt and Hartel (2006) that the melting peak of fat in bloomed
chocolate was almost non-existence with DHfat being tenfold smaller than that obtained for optimally-tempered chocolate, concluding that the whitish spots in bloomed chocolates were mainly
composed of sugar crystals and cocoa powder and nearly devoid
of fat. Kinta and Hatta (2005) also reported the presence of fat
components in bloomed dark chocolate, suggesting mechanisms
of bloom development in bloomed chocolate involves phase separation associated with the growth of xenomorphic fat crystals.
distributions of network mass among optimally-, over- and under-tempered samples, becoming well defined with increasing
magnification from (i) 800 (ii) 1500 to (iii) 2500 (Fig. 5). Effect
of PS on the microstructure was not presented because we realized
from our preliminary studies that there were no clear differences
in crystal structure among the varying PS (18–50 lm) at the same
temper regime. Microscopy of optimally-tempered chocolate
showed an even spatial distribution of dense crystalline network
with well defined inter-crystal connections within the structure
(Fig. 5a). The micrographs of over-tempered chocolate also showed
spatial distribution of a dense mass of smaller crystals within a
network structure containing mixtures of both well- and ill-defined crystal-to-crystal connections (Fig. 5b). These large numbers
3.5. Effect of temper regime on scanning electron microstructure
Microstructural examination using scanning electron microscopy after 14 days of conditioning showed clear variations in crystalline network structure, inter-crystal connections and spatial
Fig. 5. Scanning electron micrographs showing crystalline network microstructures
at magnifications of (i) 800 (ii) 1500 (c) 2500 for (a) tempered, (b) overtempered and (c) under-tempered (bloomed) dark chocolates at 18 lm PS. C shows
some of the well defined crystal structures; iC shows some of the ill-defined crystal
structures; i shows some of the inter-crystal connections. The arrows indicate some
of the pores, cracks and crevices; B shows some of solid bridges; L shows some of
the large (crystal) lumps on the crystal structure.
Fig. 5 (continued)
208
E.O. Afoakwa et al. / Food Research International 42 (2009) 200–209
properties and shelf-life (Campos et al., 2002; Hartel, 2001;
Pérez-Martínez et al., 2007). Parameters such as cooling rate and
thermal history (i.e., crystallization temperature and tempering)
influence kinetics and ultimate physical properties of the crystallized fat systems.
4. Conclusion
Fig. 5 (continued)
of smaller crystals noted within the crystalline networks in the
over-tempered samples is suspected to result from early nucleation and growth of seed crystals due to the slow cooling (Fig. 2),
leading to the formation of sub-micron primary crystallites from
the melt, with the resulting fat crystal network stabilized by van
der Waals forces, possibly with steric and Coulombic forces (deMan, 1999; Marangoni & Narine, 2002; Tang & Marangoni, 2008).
Under-tempered (bloomed) chocolates showed dissolution, rearrangement and re-crystallization of the numerous crystals noted
in the over- and optimally-tempered products to a smaller number
of larger (lumps) fat crystals (Ostwald ripening). This results in
polymorphic transformation, nucleation and growth of new large
crystals in a more stable polymorphic form, inducing formation
of solid bridges with weak and less inter-crystal connections within the crystalline structures (Fig. 5c). Hartel (2001) suggested this
phenomenon is brought about by thermodynamic differences in
equilibrium between large and small crystals within a network
structure leading to re-crystallization of unstable fat polymorphs.
This hypothesis suggests that differences in crystallization behaviour during tempering leads to formation of different microstructural organizations of crystal network structure with associated
physical changes in chocolates. Characterizing the nature of crystals in confectionery is an important step in quantifying the physical and sensory properties, as the resulting three-dimensional fat
crystal network along with the phase behaviour and structural
arrangements impact on mechanical, rheological, and melting
Fat crystallization behaviour during tempering of dark chocolates plays a key role in defining their ultimate structure and melting properties. Variations in PSD had no influence on crystallinity
of chocolates whether optimally, over- or under-tempered. Particle
size had a limited but significant direct relationship with certain
melting parameters – Tonset, Tpeak, and DHmelt – independent of temper but significant inverse relationship with others – Tend and Tindex.
Contrariwise, varying temper influenced crystallinity and chocolate melting properties (Tend, Tindex and DHmelt). Under-tempering
of chocolate resulted in widened crystal size distribution with significant changes in Tend, Tindex and DHmelt. Over-tempering caused
moderate increases in crystal size distribution, with significant effects on Tend, Tindex and DHmelt but no changes were noted in Tonset,
or Tpeak. Fat-sugar melting profiles were similar in all chocolates
independent of PS and temper regime.
Electron micrographs showed an even spatial distribution of
numerous stable b-polymorph crystals in a network with well defined inter-crystal connections in optimally-tempered chocolate.
With over-tempered chocolate there were large numbers of very
small crystals in network with mixtures of well- and ill-defined
crystal–crystal networks resulting from formation of a stable bpolymorph with early nucleation: the outcome was growth of seed
crystals from the melt into sub-micron primary crystallites and a
fat crystal network stabilized by van der Waals forces. Under-tempering resulted in dissolution of a large number of small crystals,
re-arrangement and re-crystallization into a small number of larger (lumps) fat crystals (Ostwald ripening). In this process there
was polymorphic transformation, nucleation and growth of new
large crystals in a more stable polymorphic form with formation
of solid bridges with weak and fewer inter-crystal connections
within the chocolate structure. Thus, attainment of optimal temper
regime during tempering (pre-crystallization) of dark chocolate is
necessary for the achievement of premium quality products and
avoidance of defects in structure and melting character.
Acknowledgements
This study was co-funded by the Government of Ghana and
Nestlé Product Technology Centre (York, UK). The sponsors are
gratefully acknowledged for the Research Support. The authors
thank Drs. Steve Beckett, John Rasburn and Angel Manez (Nestlé
PTC, York) for expert technical discussions.
References
Afoakwa, E. O., Paterson, A., & Fowler, M. (2007). Factor influencing rheological and
textural qualities in chocolate – A review. Trends in Food Science and Technology,
18(6), 290–298.
Afoakwa, E. O., Paterson, A., & Fowler, M. (2008). Effects of particle size distribution
and composition on rheological properties of dark chocolate. European Food
Research and Technology, 226, 1259–1268. doi:10.1007/s00217-007-0652-6.
Afoakwa, E. O., Paterson, A., Fowler, M., & Vieira, J. (2008a). Effects of tempering and
fat crystallisation behaviour on microstructure, mechanical properties and
appearance in dark chocolate systems. Journal of Food Engineering, 89(2),
128–136. doi:10.1016/j.jfoodeng.2008.04.021.
Afoakwa, E. O., Paterson, A., Fowler, M., & Vieira, J. (2008b). Modelling tempering
behaviour of dark chocolates from varying particle size distribution and fat
content using response surface methodology. Innovative Food Science and
Emerging Technologies, 9(4), 527–533. doi:10.1016/j.ifset.2008.02.002.
Afoakwa, E. O., Paterson, A., Fowler, M., & Vieira, J. (2008c). Characterization of
melting properties in dark chocolate from varying particle size distribution and
E.O. Afoakwa et al. / Food Research International 42 (2009) 200–209
composition using differential scanning calorimetry. Food Research
International, 41(7), 751–757. doi:10.1016/j.foodres.2008.05.009.
Afoakwa, E. O., Paterson, A., Fowler, M., & Vieira, J. (2008d). Particle size distribution
and compositional effects on textural properties and appearance of dark
chocolates. Journal of Food Engineering, 87(2), 181–190. doi:10.1016/
j.jfoodeng.2007.11.025.
Afoakwa, E. O., Paterson, A., Fowler, M., & Vieira, J. (2008e). Microstructural and
mechanical properties relating to particle size distribution and composition in
dark chocolate. International Journal of Food Science and Technology.
doi:10.1111/j.1365-2621.2007.01677.x.
Altimiras, P., Pyle, L., & Bouchon, P. (2007). Structure–fat migration relationships
during storage of cocoa butter model bars: Bloom development and possible
mechanisms. Journal of Food Engineering, 80, 600–610.
Beckett, S. T. (1999). Industrial chocolate manufacture and use (3rd ed.). Oxford:
Blackwell Science. pp. 153–181, 201–230, 405–428, 460–465.
Beckett, S. T. (2000). The science of chocolate. London: Royal Society of Chemistry.
Beckett, S. T. (2008). The science of chocolate (2nd ed.). London: Royal Society of
Chemistry.
Bell, A., Gordon, M. H., Jirasubkunakorn, W., & Smith, K. W. (2007). Effects of
composition on fat rheology and crystallisation. Food Chemistry, 101, 799–805.
Breitschuh, B., & Windhab, E. J. (1998). Parameters influencing cocrystallization and
polymorphism in milk fat. Journal of American Oil Chemists Society, 75, 897–904.
Campos, R., Narine, S. S., & Marangoni, A. G. (2002). Effect of cooling rate on the
structure and mechanical properties of milk fat and lard. Food Research
International, 35, 971–981.
Chen, C. W., Lai, O. M., Ghazali, H. M., & Chong, C. L. (2002). Isothermal
crystallization kinetics of refined palm oil. Journal of the American Oil
Chemists’ Society, 79, 403–410.
Debaste, F., Kegelaers, Y., Liégeois, S., Ben Amor, H., & Halloin, V. (2008).
Contribution to the modelling of chocolate tempering process. Journal of Food
Engineering, 88, 568–575.
deMan, J. M. (1999). Relationship among chemical, physical, and textural properties
of fats. In N. Widlak (Ed.). Physical properties of fats, oils and emulsions
(pp. 79–95). Champaign, IL, USA: AOCS Press.
Do, T.-A. L., Hargreaves, J. M., Wolf, B., Hort, J., & Mitchell, J. R. (2007). Impact of
particle size distribution on rheological and textural properties of chocolate
models with reduced fat content. Journal of Food Science, 72(9), E541–E552.
Foubert, I., Dewettinck, K., & Vanrolleghem, P. A. (2003). Modelling of the
crystallization kinetics of fats. Trends in Food Science & Technology, 14, 79–92.
Hartel, R. W. (2001). Crystallization in food. Gaithersburg, USA: Aspen Publishers Inc..
Herrera, M. L., & Hartel, R. W. (2000). Effect of processing conditions on the
crystallization kinetics of milk fat model systems. Journal of the American Oil
Chemists Society, 77, 1177–1187.
Himawan, C., Starov, V. M., & Stapley, A. G. F. (2006). Thermodynamic and kinetic
aspects of fat crystallization. Advances in Colloid and Interface Science, 122,
3–33.
ICA (1988). Determination of moisture content of cocoa and chocolate products.
Analytical Method 26. Bruxelles, Belgium: CAOBISCO.
ICA (1990). Determination of fat content of cocoa and chocolate products. Analytical
Method 37. Brussels, Belgium: CAOBISCO.
Kinta, Y., & Hatta, T. (2005). Composition and structure of fat bloom in untempered
chocolate. Journal of Food Science, 70, S450–452.
Loisel, C., Lecq, G., Keller, G., & Ollivon, M. (1998). Dynamic crystallization of dark
chocolate as affected by temperature and lipid additives. Journal of Food Science,
63, 73–79.
Lonchampt, P., & Hartel, R. W. (2004). Fat bloom in chocolate and compound
coatings. European Journal of Lipid Science & Technology, 106, 241–274.
doi:10.1002/ejlt.2004008938.
209
Lonchampt, P., & Hartel, R. W. (2006). Surface bloom on improperly tempered
chocolate. European Journal of Lipid Science & Technology, 108, 159–168.
doi:10.1002/ejlt.200500260.
Marangoni, A. G. (2002). Special issue of FRI—crystallization, structure and
functionality of fats. Food Research International, 35(10), 907–908.
Marangoni, A. G., & McGauley, S. E. (2003). Relationship between crystallization
behavior and structure in cocoa butter. Crystal Growth & Design, 3(1), 95–108.
Marangoni, A. G., & Narine, S. S. (2002). Identifying key structural indicators of
mechanical strength in networks of fat crystals. Food Research International, 35,
957–969.
McFarlane, I. (1999). Instrumentation. In S. T. Beckett (Ed.), Industrial chocolate
manufacture and use (pp. 347–376). New York: Chapman & Hall.
Narine, S. S., & Marangoni, A. G. (1999a). Relating structure of fat crystal networks to
mechanical properties: A review. Food Research International, 32, 227–248.
Narine, S. S., & Marangoni, A. G. (1999b). Fractal nature of fat crystal networks.
Physical Reviews E, 59, 1908–1920.
Nelson, R. B. (1999). Tempering. In S. T. Beckett (Ed.), Industrial chocolate
manufacture and use (pp. 347–376). New York: Chapman & Hall.
Pérez-Martínez, D., Alvarez-Salas, C., Charó-Alonso, M., Dibildox-Alvarado, E., &
Toro-Vazquez, J. F. (2007). The cooling rate effect on the microstructure and
rheological properties of blends of cocoa butter with vegetable oils. Food
Research International, 40, 47–62.
Schenk, H., & Peschar, R. (2004). Understanding the structure of chocolate. Radiation
Physics and Chemistry, 71, 829–835.
Smith, K. W., Cain, F. W., & Talbot, G. (2007). Effect of nut oil migration on
polymorphic transformation in a model system. Food Chemistry, 102,
656–663.
Sokmen, A., & Gunes, G. (2006). Influence of some bulk sweeteners on rheological
properties of chocolate. LWT – Food Science & Technology, 39, 1053–1058.
Tabouret, T. (1987). Detection of fat migration in a confectionery product.
International Journal of Food Science and Technology, 22, 163–167.
Tang, D., & Marangoni, A. G. (2008). Modified fractal model and rheological
properties of colloidal networks. Journal of Colloid and Interface Science, 318,
202–209.
Timms, R. E. (1984). Phase behaviour of fats and their mixtures. Progress in Lipid
Research, 23, 1–38.
Toro-Vazquez, J. F., Briceno-Montelongo, M., Dibildox-Alvarado, E., Charo-Alonso,
M., & Reyes-Hernandez, J. (2000). Crystallization kinetics of palm stearin in
blends with sesame seed oil. Journal of the American Oil Chemists’ Society, 77,
297–310.
Toro-Vazquez, J. F., Pérez-Martínez, D., Dibildox-Alvarado, E., Charó-Alonso, M., &
Reyes-Hernández, J. (2004). Rheometry and polymorphism of cocoa butter
during crystallization under static and stirring conditions. Journal of the
American Oil Chemists Society, 81, 195–203.
Vasanthan, T., & Bhatty, R. S. (1996). Physicochemical properties of small and large
granule starches of waxy, regular, and high amylase barleys. Cereal Chemistry,
73, 199–207.
Walter, P., & Cornillon, P. (2001). Influence of thermal conditions and presence of
additives on fat bloom in chocolate. Journal of the American Oil Chemists Society,
78, 927–932.
Walter, P., & Cornillon, P. (2002). Lipid migration in two-phase chocolate systems
investigated by NMR and DSC. Food Research International, 35, 761–767.
Willie, R. L., & Lutton, E. S. (1966). Polymorphism of cocoa butter. Journal of the
American Oil Chemists Society, 43, 491–496.
Ziegler, G., & Hogg, R. (1999). Particle size reduction. In S. T. Beckett (Ed.), Industrial
chocolate manufacture and use (pp. 182–199). New York: Chapman & Hall.