Periodic boundary conditions

en

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Periodic boundary conditions

Quality:

Periodic boundary conditions - concept in molecular modelling. Article “Periodic boundary conditions” in English Wikipedia has 35.3 points for quality (as of July 1, 2025). The article contains 13 references and 10 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Periodic boundary conditions”, its content was written by 50 registered users of English Wikipedia and edited by 138 registered Wikipedia users in all languages.

The article is cited 54 times in English Wikipedia and cited 153 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #65350 in June 2014
  • Global: #7517 in March 2003

The highest popularity rank from 2008:

  • Local (English): #191218 in April 2015
  • Global: #209592 in November 2014

There are 10 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Periodic boundary conditions
35.349
2German (de)
Periodische Randbedingung
26.35
3Chinese (zh)
周期性边界条件
21.5655
4French (fr)
Condition périodique aux limites
16.759
5Swedish (sv)
Periodiska randvillkor
16.1029
6Persian (fa)
شرایط مرزی متناوب
13.2648
7Portuguese (pt)
Condições de fronteira periódicas
10.4502
8Polish (pl)
Periodyczne warunki brzegowe
6.2338
9Japanese (ja)
周期的境界条件
3.5486
10Spanish (es)
Condiciones de frontera periódicas
2.8503
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Periodic boundary conditions" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Periodic boundary conditions
605 775
2Japanese (ja)
周期的境界条件
114 954
3French (fr)
Condition périodique aux limites
39 785
4German (de)
Periodische Randbedingung
37 636
5Chinese (zh)
周期性边界条件
26 289
6Spanish (es)
Condiciones de frontera periódicas
10 736
7Portuguese (pt)
Condições de fronteira periódicas
3 928
8Polish (pl)
Periodyczne warunki brzegowe
3 886
9Persian (fa)
شرایط مرزی متناوب
1 197
10Swedish (sv)
Periodiska randvillkor
349
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Periodic boundary conditions" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Periodic boundary conditions
2 157
2Japanese (ja)
周期的境界条件
304
3Chinese (zh)
周期性边界条件
146
4German (de)
Periodische Randbedingung
98
5Polish (pl)
Periodyczne warunki brzegowe
88
6French (fr)
Condition périodique aux limites
73
7Spanish (es)
Condiciones de frontera periódicas
34
8Persian (fa)
شرایط مرزی متناوب
20
9Portuguese (pt)
Condições de fronteira periódicas
15
10Swedish (sv)
Periodiska randvillkor
8
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Periodic boundary conditions" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Periodic boundary conditions
50
2German (de)
Periodische Randbedingung
24
3French (fr)
Condition périodique aux limites
20
4Japanese (ja)
周期的境界条件
15
5Portuguese (pt)
Condições de fronteira periódicas
7
6Spanish (es)
Condiciones de frontera periódicas
6
7Swedish (sv)
Periodiska randvillkor
6
8Polish (pl)
Periodyczne warunki brzegowe
5
9Chinese (zh)
周期性边界条件
4
10Persian (fa)
شرایط مرزی متناوب
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Periodic boundary conditions" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Periodische Randbedingung
0
2English (en)
Periodic boundary conditions
0
3Spanish (es)
Condiciones de frontera periódicas
0
4Persian (fa)
شرایط مرزی متناوب
0
5French (fr)
Condition périodique aux limites
0
6Japanese (ja)
周期的境界条件
0
7Polish (pl)
Periodyczne warunki brzegowe
0
8Portuguese (pt)
Condições de fronteira periódicas
0
9Swedish (sv)
Periodiska randvillkor
0
10Chinese (zh)
周期性边界条件
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Periodic boundary conditions" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Periodic boundary conditions
54
2Japanese (ja)
周期的境界条件
39
3French (fr)
Condition périodique aux limites
17
4German (de)
Periodische Randbedingung
13
5Spanish (es)
Condiciones de frontera periódicas
10
6Chinese (zh)
周期性边界条件
9
7Portuguese (pt)
Condições de fronteira periódicas
5
8Persian (fa)
شرایط مرزی متناوب
4
9Polish (pl)
Periodyczne warunki brzegowe
1
10Swedish (sv)
Periodiska randvillkor
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Periodische Randbedingung
enEnglish
Periodic boundary conditions
esSpanish
Condiciones de frontera periódicas
faPersian
شرایط مرزی متناوب
frFrench
Condition périodique aux limites
jaJapanese
周期的境界条件
plPolish
Periodyczne warunki brzegowe
ptPortuguese
Condições de fronteira periódicas
svSwedish
Periodiska randvillkor
zhChinese
周期性边界条件

Popularity rank trends

Best Rank English:
#191218
04.2015
Global:
#209592
11.2014

AI rank trends

Best Rank English:
#65350
06.2014
Global:
#7517
03.2003

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Periodic boundary conditions from Wikipedia articles about Bloch theorem, Three-torus, Boundary condition, Cellular automaton and Center of mass. Whereas reading the article about Periodic boundary conditions people most often go to Wikipedia articles on Boundary value problem, Helical boundary conditions, Born–von Karman boundary condition, Ewald summation and Monte Carlo molecular modeling.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 21 February 2026

On 21 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Alysa Liu, Eric Dane, 2026 Winter Olympics, Rebecca Gayheart, Johannes Høsflot Klæbo, Wuthering Heights, amyotrophic lateral sclerosis, Andrew Mountbatten-Windsor, John F. Kennedy Jr..

In English Wikipedia the most popular articles on that day were: Eric Dane, Alysa Liu, Rebecca Gayheart, Jeffrey Epstein, 2026 Winter Olympics, Eileen Gu, John F. Kennedy Jr., Carolyn Bessette Kennedy, Deaths in 2026, Johannes Høsflot Klæbo.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information