Correlation Between C–H∙∙∙Br and N–H∙∙∙Br Hydrogen Bond Formation in Perovskite CH<sub>3</sub>NH<sub>3</sub>PbBr<sub>3</sub>: A Study Based on Statistical Analysis

This study investigates the potential correlation between C—H···Br and N—H···Br hydrogen bonds in CH<sub>3</sub>NH<sub>3</sub>PbBr<sub>3</sub> over a broad temperature range (50–350 K), using a statistical analysis of molecular dynamics simulations. The analysis f...

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Main Authors: Alejandro Garrote-Márquez, Norge Cruz Hernández, Eduardo Menéndez-Proupin
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Solids
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Online Access:https://www.mdpi.com/2673-6497/6/2/29
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author Alejandro Garrote-Márquez
Norge Cruz Hernández
Eduardo Menéndez-Proupin
author_facet Alejandro Garrote-Márquez
Norge Cruz Hernández
Eduardo Menéndez-Proupin
author_sort Alejandro Garrote-Márquez
collection DOAJ
description This study investigates the potential correlation between C—H···Br and N—H···Br hydrogen bonds in CH<sub>3</sub>NH<sub>3</sub>PbBr<sub>3</sub> over a broad temperature range (50–350 K), using a statistical analysis of molecular dynamics simulations. The analysis focused on quantifying the relationship between both hydrogen bond types via Pearson and Spearman correlation coefficients, derived from extensive datasets obtained from simulation trajectories. The results revealed a notable discrepancy between the two coefficients at low temperatures (T ≤ 125 K): While Spearman’s values suggested a strong monotonic correlation, Pearson’s values indicated a lack of linear association. Further analysis through data segmentation and block averaging demonstrated that the high Spearman coefficients at low temperatures were not statistically robust. At higher temperatures (T > 125 K), both correlation coefficients consistently exhibited low values, confirming the absence of meaningful correlation. These findings suggest that the formation of C–H···Br and N–H···Br hydrogen bonds occurs independently, with no evidence of cooperative behavior.
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spelling doaj-art-7abe2bc62c8b4887bc8128d43f251ebf2025-06-25T14:27:05ZengMDPI AGSolids2673-64972025-06-01622910.3390/solids6020029Correlation Between C–H∙∙∙Br and N–H∙∙∙Br Hydrogen Bond Formation in Perovskite CH<sub>3</sub>NH<sub>3</sub>PbBr<sub>3</sub>: A Study Based on Statistical AnalysisAlejandro Garrote-Márquez0Norge Cruz Hernández1Eduardo Menéndez-Proupin2Departamento de Física Aplicada I, Escuela Politécnica Superior, Universidad de Sevilla, E-41011 Seville, SpainDepartamento de Física Aplicada I, Escuela Politécnica Superior, Universidad de Sevilla, E-41011 Seville, SpainDepartamento de Física Aplicada I, Escuela Politécnica Superior, Universidad de Sevilla, E-41011 Seville, SpainThis study investigates the potential correlation between C—H···Br and N—H···Br hydrogen bonds in CH<sub>3</sub>NH<sub>3</sub>PbBr<sub>3</sub> over a broad temperature range (50–350 K), using a statistical analysis of molecular dynamics simulations. The analysis focused on quantifying the relationship between both hydrogen bond types via Pearson and Spearman correlation coefficients, derived from extensive datasets obtained from simulation trajectories. The results revealed a notable discrepancy between the two coefficients at low temperatures (T ≤ 125 K): While Spearman’s values suggested a strong monotonic correlation, Pearson’s values indicated a lack of linear association. Further analysis through data segmentation and block averaging demonstrated that the high Spearman coefficients at low temperatures were not statistically robust. At higher temperatures (T > 125 K), both correlation coefficients consistently exhibited low values, confirming the absence of meaningful correlation. These findings suggest that the formation of C–H···Br and N–H···Br hydrogen bonds occurs independently, with no evidence of cooperative behavior.https://www.mdpi.com/2673-6497/6/2/29hydrogen bondinghalide perovskitesstatistical analysishydrogen bond correlation coefficients
spellingShingle Alejandro Garrote-Márquez
Norge Cruz Hernández
Eduardo Menéndez-Proupin
Correlation Between C–H∙∙∙Br and N–H∙∙∙Br Hydrogen Bond Formation in Perovskite CH<sub>3</sub>NH<sub>3</sub>PbBr<sub>3</sub>: A Study Based on Statistical Analysis
Solids
hydrogen bonding
halide perovskites
statistical analysis
hydrogen bond correlation coefficients
title Correlation Between C–H∙∙∙Br and N–H∙∙∙Br Hydrogen Bond Formation in Perovskite CH<sub>3</sub>NH<sub>3</sub>PbBr<sub>3</sub>: A Study Based on Statistical Analysis
title_full Correlation Between C–H∙∙∙Br and N–H∙∙∙Br Hydrogen Bond Formation in Perovskite CH<sub>3</sub>NH<sub>3</sub>PbBr<sub>3</sub>: A Study Based on Statistical Analysis
title_fullStr Correlation Between C–H∙∙∙Br and N–H∙∙∙Br Hydrogen Bond Formation in Perovskite CH<sub>3</sub>NH<sub>3</sub>PbBr<sub>3</sub>: A Study Based on Statistical Analysis
title_full_unstemmed Correlation Between C–H∙∙∙Br and N–H∙∙∙Br Hydrogen Bond Formation in Perovskite CH<sub>3</sub>NH<sub>3</sub>PbBr<sub>3</sub>: A Study Based on Statistical Analysis
title_short Correlation Between C–H∙∙∙Br and N–H∙∙∙Br Hydrogen Bond Formation in Perovskite CH<sub>3</sub>NH<sub>3</sub>PbBr<sub>3</sub>: A Study Based on Statistical Analysis
title_sort correlation between c h∙∙∙br and n h∙∙∙br hydrogen bond formation in perovskite ch sub 3 sub nh sub 3 sub pbbr sub 3 sub a study based on statistical analysis
topic hydrogen bonding
halide perovskites
statistical analysis
hydrogen bond correlation coefficients
url https://www.mdpi.com/2673-6497/6/2/29
work_keys_str_mv AT alejandrogarrotemarquez correlationbetweenchbrandnhbrhydrogenbondformationinperovskitechsub3subnhsub3subpbbrsub3subastudybasedonstatisticalanalysis
AT norgecruzhernandez correlationbetweenchbrandnhbrhydrogenbondformationinperovskitechsub3subnhsub3subpbbrsub3subastudybasedonstatisticalanalysis
AT eduardomenendezproupin correlationbetweenchbrandnhbrhydrogenbondformationinperovskitechsub3subnhsub3subpbbrsub3subastudybasedonstatisticalanalysis