Hard spheres

en

WikiRank.net
ver. 1.6.3

Hard spheres

Quality:

Hard spheres - model particles in statistical mechanics. Article “Hard spheres” in English Wikipedia has 22.4 points for quality (as of July 1, 2026). The article contains 5 references and 7 sections.

This article has the best quality in French Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Hard spheres”, its content was written by 27 registered users of English Wikipedia and edited by 84 registered Wikipedia users in all languages.

The article is cited 48 times in English Wikipedia and cited 117 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #54420 in April 2005
  • Global: #45561 in April 2005

The highest popularity rank from 2008:

  • Local (English): #493713 in October 2013
  • Global: #822352 in November 2013

There are 5 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, 2026 (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
1French (fr)
Sphères élastiques infiniment dures
23.9288
2English (en)
Hard spheres
22.4085
3Dutch (nl)
Harde-bollenmodel
18.5722
4German (de)
Modell harter Kugeln
13.9273
5Ukrainian (uk)
Модель твердих сфер
4.0106
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 "Hard spheres" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hard spheres
186 183
2German (de)
Modell harter Kugeln
16 688
3Dutch (nl)
Harde-bollenmodel
14 135
4French (fr)
Sphères élastiques infiniment dures
7 923
5Ukrainian (uk)
Модель твердих сфер
641
More...

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

Most popular in June 2026

The most popular language versions of the article "Hard spheres" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Hard spheres
486
2German (de)
Modell harter Kugeln
47
3French (fr)
Sphères élastiques infiniment dures
43
4Dutch (nl)
Harde-bollenmodel
13
5Ukrainian (uk)
Модель твердих сфер
5
More...

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

The highest AI

Language versions of the article "Hard spheres" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1German (de)
Modell harter Kugeln
31
2English (en)
Hard spheres
27
3Dutch (nl)
Harde-bollenmodel
17
4French (fr)
Sphères élastiques infiniment dures
5
5Ukrainian (uk)
Модель твердих сфер
4
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 2026

Language versions of the article "Hard spheres" with the highest AI in June 2026
#LanguageAI awardRelative AI
1German (de)
Modell harter Kugeln
0
2English (en)
Hard spheres
0
3French (fr)
Sphères élastiques infiniment dures
0
4Dutch (nl)
Harde-bollenmodel
0
5Ukrainian (uk)
Модель твердих сфер
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 "Hard spheres" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hard spheres
48
2French (fr)
Sphères élastiques infiniment dures
38
3German (de)
Modell harter Kugeln
21
4Dutch (nl)
Harde-bollenmodel
7
5Ukrainian (uk)
Модель твердих сфер
3
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Modell harter Kugeln
enEnglish
Hard spheres
frFrench
Sphères élastiques infiniment dures
nlDutch
Harde-bollenmodel
ukUkrainian
Модель твердих сфер

Popularity rank trends

Best Rank English:
#493713
10.2013
Global:
#822352
11.2013

AI rank trends

Best Rank English:
#54420
04.2005
Global:
#45561
04.2005

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Hard spheres from Wikipedia articles about Pair potential, Eigenstate thermalization hypothesis, Computer simulation, Cross section and Mercury. Whereas reading the article about Hard spheres people most often go to Wikipedia articles on Virial coefficient, Chapman–Enskog theory, Percus–Yevick approximation, Statistical associating fluid theory and Classical fluids.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information