Znn3bq.jpeg
±±¾©Ê¯ÓÍ»¯¹¤Ñ§Ôº2026ÄêÑо¿ÉúÕÐÉú½ÓÊÕµ÷¼Á¹«¸æ
²é¿´: 1879  |  »Ø¸´: 4

swuli

ľ³æ (СÓÐÃûÆø)

[ÇóÖú] scipy.integrate.quad »ý·Ö´íÎóÔ­Òò£¿ ÒÑÓÐ1È˲ÎÓë

ÓÐÒÔÏ»ý·Ö£¬n2ºÍn3µÄÖµ·Ç³£½Ó½ü£¬µ«»ý·Ö½á¹ûÈ´´óÏྶͥ¡£
n2=22144  »ý·Ö½á¹û=0.4256854383924181
n3=22145 »ý·Ö½á¹û=11774635265351.027

ÓÃmatlabË㣬ºóÃæÊÇ׼ȷµÄ¡£ÊÇʲôԭÒòµ¼ÖÂn2Ëù³öÏֵĴíÎó£¿


from math import sqrt, log, exp
import numpy as np
from scipy.integrate import quad

def integrand(x, r1, r2):
    a = r1 + r2
    b = r1 * r2
    R = a * x / 2
    R1 = R ** 2 - a ** 2
    R2 = R ** 2 - (r1 - r2) ** 2
    vdw = -7e-21 * (2 * b / R1 + 2 * b / R2 + log(R1 / R2))
    edl = 7.8e-12 * b / a * log(1 + exp(-328774227 * (R - a)))
    force = vdw + edl
    return exp(force / 4.11447e-21) / x ** 2

n1 = 5010
n2 = 22144
n3 = 22145
radius1 = 1.05 * 10 ** -8 * n1 ** (1 / 1.8)
radius2 = 1.05 * 10 ** -8 * n2 ** (1 / 1.8)
radius3 = 1.05 * 10 ** -8 * n3 ** (1 / 1.8)
w2 = quad(integrand, 2, np.inf, args=(radius1, radius2))
w3 = quad(integrand, 2, np.inf, args=(radius1, radius3))
print('w2=', w2[0])
print('w3=', w3[0])
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
2Â¥2021-05-21 16:59:32
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

bcsnow

Ìú¸Ëľ³æ (ÖøÃûдÊÖ)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï ¡ï
¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
swuli: ½ð±Ò+10, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸ 2021-05-23 08:45:33
ûÓдíÎó°¡£ºw2= 11772040939067.406  w3= 11774635265351.027
3Â¥2021-05-22 10:36:12
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

swuli

ľ³æ (СÓÐÃûÆø)

ÒýÓûØÌû:
3Â¥: Originally posted by bcsnow at 2021-05-22 10:36:12
ûÓдíÎó°¡£ºw2= 11772040939067.406  w3= 11774635265351.027

ÎÒÕâÀïµÃµ½µÄ½á¹ûÈ´ÊÇw2= 0.4256854383924181£»w3= 11774635265351.027¡£Ææ¹ÖÁË¡£
ºÍ°æ±¾ÓйØÂð£¿ÎÒµÄpython 3.6.6 scipy 1.6.0¡£ÄúÓÐûÓÐ×öʲô±ðµÄ´¦ÀíÄØ£¿
4Â¥2021-05-23 08:48:12
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

bcsnow

Ìú¸Ëľ³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
4Â¥: Originally posted by swuli at 2021-05-23 08:48:12
ÎÒÕâÀïµÃµ½µÄ½á¹ûÈ´ÊÇw2= 0.4256854383924181£»w3= 11774635265351.027¡£Ææ¹ÖÁË¡£
ºÍ°æ±¾ÓйØÂð£¿ÎÒµÄpython 3.6.6 scipy 1.6.0¡£ÄúÓÐûÓÐ×öʲô±ðµÄ´¦ÀíÄØ£¿...

ûÓд¦Àí£¬Ö±½Ó¿½±´ÔËÐеģ¬ÎÒµÄÊÇ3.7.7ºÍ1.5.2£¬°´Ëµ°æ±¾¼ä²»Ó¦¸ÃÓÐÕâôÑÏÖØ´íÎó¡£Äã°Ñn2 n3µÄÖµµ÷»»Ò»Ï£¬¿´¿´½á¹ûÈçºÎ¡£
5Â¥2021-05-24 00:23:32
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ swuli µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 325·Ö»¯Ñ§µ÷¼Á +6 15771691647 2026-04-02 6/300 2026-04-08 10:29 by screening
[¿¼ÑÐ] Çóµ÷¼ÁÇóµ÷¼Á +12 121. 2026-04-02 12/600 2026-04-08 10:01 by barlinike
[¿¼ÑÐ] ÉúÎïѧ308·ÖÇóµ÷¼Á£¨Ò»Ö¾Ô¸»ª¶«Ê¦´ó£©×ö¹ý·Ö×ÓʵÑé +5 ÏàÐűػá¹ââÍòÕ 2026-04-07 6/300 2026-04-08 00:19 by JourneyLucky
[¿¼ÑÐ] ÉúÎïÒ½Ò©µ÷¼Á£üSCIÖпÆÔºÈýÇøÒ»×÷+¶àÏî¿ÆÑгɹû +8 likangxing 2026-04-07 11/550 2026-04-08 00:02 by lys0704
[¿¼ÑÐ] 22408 331·ÖÇóµ÷¼Á +4 y__1 2026-04-06 4/200 2026-04-06 17:26 by ÍÁľ˶ʿÕÐÉú
[¿¼ÑÐ] Ò»Ö¾Ô¸¹ú¿Æ´óÐŹ¤Ëù,Ó¢¶þÊý¶þ408×Ü·Ö293·ÖÇóµ÷¼Á +3 ilcyuan 2026-04-02 4/200 2026-04-06 16:35 by likeihood
[¿¼ÑÐ] 319Çóµ÷¼Á +3 handrui 2026-04-05 3/150 2026-04-06 09:33 by jp9609
[¿¼ÑÐ] Ò»Ö¾Ô¸Î人Àí¹¤´óѧ-085601²ÄÁϹ¤³Ì£¨×¨Ë¶£©-×Ü·Ö353Çóµ÷¼Á +3 2626262626li 2026-04-02 3/150 2026-04-06 09:08 by Î޼ʵIJÝÔ­
[¿¼ÑÐ] Ò»Ö¾Ô¸211£¬»¯Ñ§Ñ§Ë¶£¬310·Ö£¬±¾¿ÆÖصãË«·Ç£¬Çóµ÷¼Á +13 ŬÁ¦·Ü¶·112 2026-04-04 13/650 2026-04-06 07:13 by jj987
[¿¼ÑÐ] µç×ÓÐÅÏ¢µ÷¼Á½»²æÑ§¿ÆÓÐÍÆ¼öÂð +6 jhtfeybgj 2026-04-01 9/450 2026-04-05 11:13 by Öí»á·É
[¿¼ÑÐ] 085602µ÷¼Á ³õÊÔ×Ü·Ö335 +12 19123253302 2026-04-04 12/600 2026-04-05 08:08 by 544594351
[¿¼ÑÐ] 283·ÖÇóµ÷¼Á +7 СÄô°®Ñ§Ï° 2026-04-03 7/350 2026-04-04 21:51 by hemengdong
[¿¼ÑÐ] 302Çóµ÷¼ÁÒ»Ö¾Ô¸»ªÖÐʦ·¶´óѧ +8 С½­Ð¡½­½­½­ 2026-04-02 8/400 2026-04-04 19:50 by À¶ÔÆË¼Óê
[¿¼ÑÐ] 292Çóµ÷¼Á +11 2022080213 2026-04-04 13/650 2026-04-04 18:38 by macy2011
[¿¼ÑÐ] 321Çóµ÷¼Á +13 ÈÏÕæÇóÉÏѧ 2026-04-02 13/650 2026-04-04 18:23 by macy2011
[¿¼ÑÐ] ²ÄÁϵ÷¼Á +11 ÎâèùÓ±£¡ 2026-04-03 11/550 2026-04-04 09:56 by ССÊ÷2024
[¿¼ÑÐ] 305Çóµ÷¼Á +3 77Qi 2026-04-03 3/150 2026-04-03 23:01 by qzxyhcsy
[¿¼ÑÐ] Ò»Ö¾Ô¸ÖØÇì´óѧ085404£¬×Ü·Ö314·Ö£¬Çóµ÷¼Á +4 zf83hn 2026-04-03 4/200 2026-04-03 21:25 by à£à£à£0119
[¿¼ÑÐ] Çó²ÄÁϵ÷¼Á Ò»Ö¾Ô¸Äϲý´óѧ 328·Ö +5 yyy..... 2026-04-03 5/250 2026-04-03 13:46 by °ÙÁéͯ888
[˶²©¼ÒÔ°] ¿¼Ñе÷¼Á +5 ÂæÍÕÄÐÈË 2026-04-01 5/250 2026-04-01 14:28 by syjjj0321
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û