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. 2026 Apr 6;16:11641. doi: 10.1038/s41598-026-45013-2

Table 4.

Renyi entropy values for reverse degree and reverse neighborhood degree of BRE(m, n, r) zeolite, when Inline graphic.

Inline graphic Reverse DegreeInline graphic Reverse Neighborhood DegreeInline graphic
q=2 q=3 q=4 q=5 q=6 q=2 q=3 q=4 q=5 q=6
Inline graphic m=n=r=2 1.4278 1.3975 1.3778 1.3633 1.3519 3.1355 3.0662 3.0149 2.9751 2.9432
m=n=r=3 1.2472 1.1643 1.1115 1.0755 1.0493 3.2755 3.1957 3.1361 3.089 3.0504
m=n=r=4 1.0345 0.91901 0.853 0.81147 0.78337 3.0593 2.9194 2.8198 2.7463 2.6904
m=n=r=5 0.87033 0.74734 0.68316 0.64529 0.62087 2.8005 2.5834 2.4314 2.3252 2.2498
m=n=r=6 0.74715 0.62674 0.56801 0.5348 0.51395 2.5508 2.2738 2.098 1.9866 1.9131
Inline graphic m=n=r=2 1.3973 1.3572 1.329 1.307 1.2889 2.8833 2.7818 2.7086 2.6515 2.6054
m=n=r=3 1.4381 1.4084 1.3885 1.3733 1.3611 3.1963 3.0991 3.0272 2.9716 2.9276
m=n=r=4 1.3072 1.2283 1.1726 1.1322 1.1021 3.1799 3.0741 3 2.9469 2.9077
m=n=r=5 1.1581 1.0443 0.97302 0.92652 0.89468 3.106 2.9877 2.9011 2.8343 2.7814
m=n=r=6 1.0262 0.89674 0.82347 0.77895 0.74988 3.0203 2.89 2.7921 2.7143 2.6515
HM(BRE) m=n=r=2 1.4173 1.3787 1.3534 1.335 1.3207 2.9406 2.8454 2.773 2.7147 2.6668
m=n=r=3 1.4517 1.4175 1.3938 1.3758 1.3614 3.2261 3.1421 3.0804 3.0323 2.9933
m=n=r=4 1.3347 1.2609 1.2106 1.1749 1.1486 3.1877 3.0906 3.0253 2.98 2.9473
m=n=r=5 1.1972 1.0907 1.0238 0.97938 0.94836 3.1041 2.9931 2.917 2.8616 2.8194
m=n=r=6 1.0719 0.94771 0.87587 0.83115 0.80135 3.0177 2.8976 2.8144 2.7522 2.7033
R(BRE) m=n=r=2 1.0477 0.95344 0.89712 0.85978 0.83336 2.5937 2.4456 2.3646 2.3141 2.2793
m=n=r=3 0.69508 0.58974 0.53679 0.50612 0.4866 1.706 1.4934 1.3891 1.3271 1.2857
m=n=r=4 0.51546 0.42307 0.38088 0.35786 0.34369 1.2171 1.0193 0.92752 0.87532 0.84206
m=n=r=5 0.40894 0.32925 0.29498 0.27684 0.26581 0.93829 0.76515 0.68935 0.64809 0.62257
m=n=r=6 0.33872 0.26932 0.24068 0.22577 0.21676 0.76125 0.61043 0.54731 0.51383 0.49341
H(BRE) m=n=r=2 1.0325 0.93469 0.87588 0.83712 0.81002 2.5661 2.4078 2.3214 2.2675 2.2302
m=n=r=3 0.67413 0.5684 0.51608 0.48615 0.46726 1.6582 1.4449 1.3402 1.2777 1.2361
m=n=r=4 0.49596 0.40502 0.36411 0.34198 0.32841 1.1683 0.9736 0.88399 0.83345 0.80146
m=n=r=5 0.39169 0.31407 0.28114 0.2638 0.25328 0.89446 0.72635 0.65352 0.61414 0.58989
m=n=r=6 0.32349 0.25634 0.22894 0.21474 0.20616 0.72261 0.57744 0.51727 0.48553 0.46621
GA(BRE) m=n=r=2 1.2806 1.2215 1.1825 1.1543 1.1326 3.0749 2.9614 2.8728 2.8043 2.7512
m=n=r=3 0.93267 0.81845 0.75505 0.71597 0.69002 2.5789 2.3392 2.2051 2.1228 2.0677
m=n=r=4 0.71113 0.5979 0.54231 0.51071 0.49083 2.0086 1.7252 1.5831 1.5003 1.4466
m=n=r=5 0.57142 0.46875 0.42195 0.39645 0.38076 1.6142 1.3398 1.213 1.1426 1.0984
m=n=r=6 0.47674 0.38489 0.34508 0.32392 0.31102 1.3409 1.0893 0.97969 0.92068 0.88435
Inline graphic m=n=r=2 1.4168 1.3913 1.3758 1.3649 1.3568 3.0933 3.0141 2.9564 2.9117 2.8756
m=n=r=3 1.2202 1.1316 1.0731 1.0325 1.003 3.2731 3.1929 3.1343 3.089 3.0524
m=n=r=4 0.99333 0.87211 0.80373 0.76167 0.73387 3.0389 2.8777 2.7593 2.671 2.6044
m=n=r=5 0.82461 0.69966 0.63618 0.59963 0.57647 2.7431 2.4885 2.3165 2.2024 2.1248
m=n=r=6 0.70128 0.58184 0.52527 0.49394 0.4745 2.4622 2.1516 1.9677 1.8572 1.7862
Inline graphic m=n=r=2 1.2807 1.2226 1.1887 1.1667 1.1511 2.6769 2.5608 2.4739 2.4036 2.346
m=n=r=3 1.46 1.4334 1.4168 1.4051 1.3963 2.9497 2.813 2.7107 2.6325 2.5727
m=n=r=4 1.46 1.4334 1.4168 1.4051 1.3963 2.9319 2.7873 2.6938 2.6304 2.5853
m=n=r=5 1.4289 1.3853 1.3528 1.3267 1.3052 2.8489 2.6711 2.5503 2.4635 2.3987
m=n=r=6 1.3498 1.2746 1.2187 1.1766 1.1445 2.7539 2.5376 2.3866 2.2799 2.2037