## 3 Results and Discussion
### Effective Crosslinking Radius of GlycosJ Anti-Wrinkle Finishing Agent  
According to the chemical cross-linking anti-wrinkle finishing mechanism of cotton fabrics, the finishing agent has at least two cross-linking reactive groups; therefore, the cross-linking agent can form effective cross-links with cellulose. After the finishing agent molecules were adsorbed and diffused into the fiber, one reactive group was cross-linked with cellulose and the remaining reactive groups needed to be cross-linked with cellulose to be counted as effective cross-linking [8; 9; 23; 24; 25]. Therefore, we combined one reactive group of the anti-wrinkle finishing agent with the hydroxyl group of the cellulose, calculated the rotation of the finishing agent molecule itself to form its effective crosslinking radius, and analyzed the effective crosslinking radius inside the cellulose. To analyze the effective crosslinking radius of BTCA, GA, OTr, and openTr, Figure 7 shows the molecular structures of the four finishing agents after one single reactive group was combined with cellulose. Through the method in Section 2.2.7, the energy probability distribution of the cross-linking agent under different cross-linking conditions was calculated, and the results are shown in Table 2.  
It can be seen from Table 2 that OTr can form seven different configurations through its own rotation, which shows that OTr has seven possible molecular structures inside cellulose, of which the largest proportion and the lowest energy conformation accounts for 74.23%. The relatively symmetrical molecular structure of openTr has only four lower energy conformations, and the lowest energy conformation accounts for 92.31%, while BTCA and GA have eight conformations and seven conformations, and the lower energy conformation proportions are 96.87 and 88.56%, respectively. The distance from the reaction site to the assumed cross-linking point under the corresponding cross-linking was measured using Chem-craft software (Figure 8), the distances that can form cross-links in different conformations were summarized. We used the cross-linking distance as the abscissa and the fraction as the ordinate to draw a fan-shaped distribution diagram, and the result is shown in Figure 9.  
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**Molecular Conformations** & **Molecular Conformational Energy (a.u. )** & **\& E (kcal/mol)** & **Proportion** \\ \hline BTCA-1 & \(-911.72876\) & 0 & 96.87\% \\ BTCA-2 & \(-911.724877\) & 2.44 & 1.58\% \\ BTCA-3 & \(-911.724415\) & 2.73 & 0.97\% \\ BTCA-4  
Figure 8: Molecular structure in different conformations and the distance between two cross-linking points. In Figure 9, the cross-linking distance with the highest proportion among BTCA of different conformations was 3.64 A, accounting for 96.89%, which was the most effective cross-linking radius range of BTCA; the lowest proportion reaches the effective distance of 4.559 A, which was also the longest cross-linking range. Beyond this range, the probability of BTCA cross-linking was low; therefore, the effective cross-linking radius of BTCA was 3.64 A-4.559 A. According to this method, the effective cross-linking radius with the highest proportion of glutaraldehyde was 3.937 A, the proportion was 74.26%, and its effective radius was 3.937-5.045 A. The effective cross-linking radius with the highest proportion of OTr was 5.243 A, accounting for 74.23%, and their effective radius was 4.025-5.045 A. The highest effective cross-linking radius of openTr was 4.54 A, accounting for 92.31%, and its effective radius was 4.540-5.873 A. According to the similar simulation method, we simulated other glycosyl polyaldehyde and glycosyl polyuronic acid finishing agents, calculated their effective cross-linking distribution radius, and arranged these cross-linking distributions in a pyramid shape, which is shown in Figure 10.  
It can be seen from Figure 9 that OFr, GA, and BTCA, as finishing agents with smaller molecular weights, have a smaller effective crosslinking radius.