Particle in a one-dimensional lattice

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Particle in a one-dimensional lattice

Quality:

Particle in a one-dimensional lattice - a problem that occurs in the model of a periodic crystal lattice. Article “Particle in a one-dimensional lattice” in English Wikipedia has 34.5 points for quality (as of July 1, 2025). The article contains 10 references and 8 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.82 points.

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 “Particle in a one-dimensional lattice”, its content was written by 69 registered users of English Wikipedia and edited by 181 registered Wikipedia users in all languages.

The article is cited 42 times in English Wikipedia and cited 109 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #2656 in February 2004
  • Global: #11338 in February 2004

The highest popularity rank from 2008:

  • Local (English): #222157 in April 2013
  • Global: #282899 in November 2014

There are 11 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)
Particle in a one-dimensional lattice
34.5363
2Russian (ru)
Частица в периодическом потенциале
22.3311
3German (de)
Kronig-Penney-Modell
19.004
4Ukrainian (uk)
Частка в одновимірному періодичному потенціалі
13.8536
5Italian (it)
Modello di Kronig-Penney
13.5257
6Japanese (ja)
クローニッヒ・ペニーのモデル
12.2413
7Korean (ko)
일차원 격자 속의 입자
12.1919
8French (fr)
Particule dans un réseau à une dimension
8.7145
9Arabic (ar)
حركة جسيم في بعد واحد
7.5261
10Catalan (ca)
Model de Kronig-Penney
6.9719
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 "Particle in a one-dimensional lattice" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Particle in a one-dimensional lattice
580 844
2Russian (ru)
Частица в периодическом потенциале
74 314
3Japanese (ja)
クローニッヒ・ペニーのモデル
65 989
4German (de)
Kronig-Penney-Modell
51 931
5Spanish (es)
Modelo de Kronig-Penney
41 295
6Italian (it)
Modello di Kronig-Penney
18 511
7French (fr)
Particule dans un réseau à une dimension
16 895
8Arabic (ar)
حركة جسيم في بعد واحد
13 629
9Korean (ko)
일차원 격자 속의 입자
9 225
10Ukrainian (uk)
Частка в одновимірному періодичному потенціалі
3 214
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 "Particle in a one-dimensional lattice" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Particle in a one-dimensional lattice
1 841
2Japanese (ja)
クローニッヒ・ペニーのモデル
285
3Russian (ru)
Частица в периодическом потенциале
213
4German (de)
Kronig-Penney-Modell
164
5Spanish (es)
Modelo de Kronig-Penney
115
6Italian (it)
Modello di Kronig-Penney
94
7French (fr)
Particule dans un réseau à une dimension
75
8Korean (ko)
일차원 격자 속의 입자
44
9Catalan (ca)
Model de Kronig-Penney
19
10Arabic (ar)
حركة جسيم في بعد واحد
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 "Particle in a one-dimensional lattice" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Particle in a one-dimensional lattice
69
2Russian (ru)
Частица в периодическом потенциале
24
3German (de)
Kronig-Penney-Modell
23
4Italian (it)
Modello di Kronig-Penney
20
5French (fr)
Particule dans un réseau à une dimension
10
6Japanese (ja)
クローニッヒ・ペニーのモデル
10
7Spanish (es)
Modelo de Kronig-Penney
8
8Arabic (ar)
حركة جسيم في بعد واحد
6
9Catalan (ca)
Model de Kronig-Penney
4
10Korean (ko)
일차원 격자 속의 입자
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 2025

Language versions of the article "Particle in a one-dimensional lattice" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Spanish (es)
Modelo de Kronig-Penney
1
2Arabic (ar)
حركة جسيم في بعد واحد
0
3Catalan (ca)
Model de Kronig-Penney
0
4German (de)
Kronig-Penney-Modell
0
5English (en)
Particle in a one-dimensional lattice
0
6French (fr)
Particule dans un réseau à une dimension
0
7Italian (it)
Modello di Kronig-Penney
0
8Japanese (ja)
クローニッヒ・ペニーのモデル
0
9Korean (ko)
일차원 격자 속의 입자
0
10Russian (ru)
Частица в периодическом потенциале
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 "Particle in a one-dimensional lattice" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Particle in a one-dimensional lattice
42
2Russian (ru)
Частица в периодическом потенциале
26
3French (fr)
Particule dans un réseau à une dimension
10
4Japanese (ja)
クローニッヒ・ペニーのモデル
9
5German (de)
Kronig-Penney-Modell
5
6Spanish (es)
Modelo de Kronig-Penney
4
7Italian (it)
Modello di Kronig-Penney
4
8Catalan (ca)
Model de Kronig-Penney
3
9Arabic (ar)
حركة جسيم في بعد واحد
2
10Korean (ko)
일차원 격자 속의 입자
2
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
arArabic
حركة جسيم في بعد واحد
caCatalan
Model de Kronig-Penney
deGerman
Kronig-Penney-Modell
enEnglish
Particle in a one-dimensional lattice
esSpanish
Modelo de Kronig-Penney
frFrench
Particule dans un réseau à une dimension
itItalian
Modello di Kronig-Penney
jaJapanese
クローニッヒ・ペニーのモデル
koKorean
일차원 격자 속의 입자
ruRussian
Частица в периодическом потенциале
ukUkrainian
Частка в одновимірному періодичному потенціалі

Popularity rank trends

Best Rank English:
#222157
04.2013
Global:
#282899
11.2014

AI rank trends

Best Rank English:
#2656
02.2004
Global:
#11338
02.2004

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Particle in a one-dimensional lattice from Wikipedia articles about Bloch theorem, List of quantum-mechanical systems with analytical solutions, William Penney, Baron Penney, Peierls transition and Ralph Kronig. Whereas reading the article about Particle in a one-dimensional lattice people most often go to Wikipedia articles on Bloch theorem, Nearly free electron model, Free electron model, Ralph Kronig and Empty lattice approximation.

Cumulative results of quality and popularity of the Wikipedia article

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

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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