## 3 Results and Discussion
### Polymorphic Discrimination at 20 \({}^{\circ}\)C
#### 3.1.1 \"Pure\" Compounds  
In the case of CB, the following diffraction peaks are identified on the diffractogram: 63.5 A (q = 0.099 A\({}^{-1}\)), 43.0 A (q = 0.146 A\({}^{-1}\)) and 32.1 A (q = 0.196 A\({}^{-1}\)) and higher orders at 16.1 A (q = 0.391 A\({}^{-1}\)), and 12.8 A (q= 0.489 A\({}^{-1}\)) for SAXS and 4.03 A (q = 1.56 A\({}^{-1}\)), 3.90 A (q = 1.61 A\({}^{-1}\)), 3.79 A (q = 1.66 A\({}^{-1}\)), 3.70 A (q = 1.70 A\({}^{-1}\)) and 3.59 A (q = 1.75 A\({}^{-1}\)) for SAXS. CBE differs from CB because of intensity ratios, especially due to the presence of a more intense diffraction peak at 43.0 A (q = 0.146 A\({}^{-1}\)) which leads also to a high order small peak at 14.3 A (q = 0.439 A\({}^{-1}\)) in SAXS region and a small peak at 4.27 A (q = 1.47 A\({}^{-1}\)) in the SAXS. Mainly one intense peak at 41.0 A (q = 0.154 A\({}^{-1}\)) and higher order at 13.9 A (q = 0.453 A\({}^{-1}\)) are visible on AMF diffractogram.  
Based on studies on CB, CBE and AMF [7; 13; 14], the diffraction peaks can be assigned: for SAXS, the peak at 63.5 A corresponds to the first order of the triple chain structure 3\(L_{001}\), the peak at 32.1 A to the second order of the same structure (3\(L_{002}\)) and the peak of center at 43.0 A to the first order of a double length chain structure 2\(L_{001}\). For SAXS, we can identify CB V(\(\beta_{1}\)) form due to the last six peaks (4.03, 3.90, 3.79, 3.70 and 3.59 A). The presence of the peaks at 4.03 and 3.79 A indicates that V form is involved, and not VI form, according to the literature. Indeed, during the preparation of the mixtures, the pure compounds were melted up to T = 60 \({}^{\circ}\)C: the samples' fusion erased their polymorphic history. It is therefore not surprising that some TGs in the mixture are still in V form, especially when the sample has been stored under optimal conditions (at a temperature of 4 \({}^{\circ}\)C) as [PERSON] et al. [13] showed with the obtaining of the cocoa butter polymorph isolated protocol. The peak at 4.27 A was present in the diffractogram of CBE at room temperature and was assigned to the 2L-\(\beta\)' structure of POP triglycerides [14; 17].  
Figure 1: WAXS (**a**) and SAXS (**b**) diffractograms of CB, CBE, AMF, CB + AMF, CB + AMF + CBE, CB + 0.5 AMF and CB + 0.5 AMF + CBE, at room temperature.  
In addition, we notice a strong variation in the intensity of the peak at 43 A compared to the other two peaks at 63 A and 33 A depending on the type of mixture, or compared to CB and CBE. This will lead us to consider a new parameter \(\rho\), which takes into account the part of the intensity of the I\({}_{43}\) peak at 43 A compared to I\({}_{63}\) peak in SAXS: \(\rho=\frac{I_{43}}{I_{63}}=\frac{I(2I_{001})}{I(3I_{001})}\). From the study of this parameter, we will be able to propose an approximation of the proportion of TGs in \(\beta^{\prime}\) form relative to the whole mixture. At 20 \({}^{\circ}\)C temperature, this parameter \(\rho\) becomes worthy for CB and CBE: \(\rho_{CB}=0.127\) and \(\rho_{CBE}=0.729\). These results seem to indicate that for CBE there are 83% \(\left(=\frac{\rho_{CBE}-\rho_{CBE}}{\rho_{CBE}}\right)\) more TGs in IV or \(\beta^{\prime}\) form than for CB.  
Concerning AMF, SAXS shows the typical 2L long spacing around 41 A (q = 0.154 A\({}^{-1}\) and third order at 0.453 A\({}^{-1}\)); WAXS are noisy, certainly because the solid fraction is low at room temperature and it is not possible to see the weak b' signature described in the literature [15].