Influence of Quantum Effects on Dielectric Relaxation in Functional Electrical and Electric Energy Elements Based on Proton Semiconductors and Dielectrics

Round 1

Reviewer 1 Report

The manuscript discusses the quantum properties of proton relaxation in HBC, which is interesting and applicable in the future to the study of solid-state electrolytes. However, the following issues should be addressed:

1. The manuscript is lack of logical description. It is really hard to follow during the reading. The writing should be improved. There are some typos and grammar mistakes in the manuscript.

2. Detailed description on the equations should be supplemented. 

3. Equations should be labelled consequently. There are some equations without the labels.

4.The conclusions should be rewritten, to address the main achievements of the manuscript.

The English should be improved to achieve the standard of the publication. Many typos and grammar mistakes in the manuscript can be found.

Author Response

We took into account all the indicated comments when editing the text of the manuscript:

1. The revised version of the article highlights the logical relationships between the individual elements of the manuscript (sections, text fragments, wording) and the definitions of goals and objectives. To this end, we have edited Introduction (see the last paragraph), Conclusions, in Section 2 "Materials and Methods" the study tasks are formulated that correspond to the content of Conclusions. A significant correction, from the point of view of describing the mathematical model, was subjected to Section "Materials and Methods" (comments were given on a number of basic equations, the symbolism and style of the presentation of the material were slightly changed).

2. Additional comments are given on the main equations of the mathematical model. Detailed comments were made to base the selected forms of the model equations, primarily for Eq.11, Eq.16, Eq.20,22 before and after the equations themselves, we gave these explanations in the text of the article.

3. A scheme of references to equations and formulas is applied in the text of the article in the Eq.2 format, Exp.4, with rare exceptions, where it is extremely difficult to do this by context, for example, in Sections Results, Discussions, when the results of numerical calculations and comments on the graphs of calculated quantities and in tables are described. There are used symbols in parentheses (Exp.22.24).

4. The structure of Conclusions has been changed and the main original results are brought to the fore. The essence of the work is to improve the previously developed schemes and methods of the quasi-classical theory of dielectric relaxation in HBC, by introducing additional corrections to the quantum transparency of a potential barrier caused by external perturbation, as a function of temperature. It is indicated that the Eq.11 is borrowed from [6] and solved in a new non-linear form Exp.16, and the Exp.22,24 (Bucci-Rive formula) are supplemented with quantum-mechanical corrections, Exp.9,10 are also transformed taking into account additional corrections on the influence of external perturbation, which was not previously done and used to strengthen the results of comparing theory and experiment, and shown as numerical results in blitz 1-4 and in graphs 6-9

the English language level  edited

Reviewer 2 Report

In this manuscript, authors studied proton transfer in hydrogen-bonded crystals by solving the kinetic equation for the double potential well. They found good agreement between the values they calculated of the activation energies of protons and the experimental values.
 
Basically, the description of the model and calculations in the manuscript are clear, and the results are sound. There is in fact nothing novel in the manuscript.
However, the writing of this manuscript needs to be improved. I think this manuscript could be considered for publication upon authors’ suitable address of the following comments

 
1- The abstract is very long and extremely confusing to the reader. It should only contain short description of the presented work and the important findings in the paper.

2- The introduction is not logically written at all. Prior works in the field should be clearly presented in the first few paragraphs. At the very end of the introduction, authors should explain clearly the problem they are trying to solve and what they exactly did and come up with. It is also strange that most of the cited papers of previous research works are put at the end of the introduction.


3- The conclusion should not be written as numbered points. It has to be brief and only includes the important findings in the paper. 


4- I noticed that authors use long sentences throughout the manuscript. This is usually very confusing and need to be avoided and fixed. I also see overuse of putting things between parentheses () in the text. This should be fixed too.

5- After Eq. 1, using a dash when defining the variables should be changed. You might say “In Eq. 1, \delta_0 is the potential barrier width, U_0 is the activation ...etc”. Same thing after Eq. 2.

6- Referring to equations could be in the form” Eq. 1 “, not just putting the equation number between two parentheses.

7- In page 5 and 6, these long numbers and equations should be moved to an appendix. The final results should only stay in the main text. The numerical estimates of the presented parameters could be written in equation style (aligned and numbered) or could be put in the text. The way it looks is not even a lab report style.


8- Some equations are not numbered. They need to be numbered.

9- English language editing is required for the whole manuscript.
 





There are typosand some grammar issues.

Author Response

The revised version of the article highlights the logical relationships between the individual elements of the manuscript (sections, text fragments, wording) and the definitions of goals and objectives. To this end, we have edited Introduction (see the last paragraph), Conclusions, in Section 2 "Materials and Methods" the study tasks are formulated that correspond to the content of Conclusions. A significant correction, from the point of view of describing the mathematical model, was subjected to Section "Materials and Methods" (comments were given on a number of basic equations, the symbolism and style of the presentation of the material were slightly changed). Detailed comments were made to base the selected forms of the model equations, primarily for Eq.11, Eq.16, Eq.20,22 before and after the equations themselves, we gave these explanations in the text of the article.

1- Abstract is converted based on the reviewer's comments.

2- Regarding the Introduction, we introduced an additional last paragraph, which provides descriptions of our proposed additional to existing transformation methods, substantiated their need, described schemes of new solutions and expected results.

 

3 The structure of Conclusions has been changed and the main original results are brought to the fore. The essence of the work is to improve the previously developed schemes and methods of the quasi-classical theory of dielectric relaxation in HBC, by introducing additional corrections to the quantum transparency of a potential barrier caused by external perturbation, as a function of temperature. It is indicated that the Eq.11 is borrowed from [6] and solved in a new non-linear form Exp.16, and the Exp.22,24 (Bucci-Rive formula) are supplemented with quantum-mechanical corrections, Exp.9,10 are also transformed taking into account additional corrections on the influence of external perturbation, which was not previously done and used to strengthen the results of comparing theory and experiment, and shown as numerical results in blitz 1-4 and in graphs 6-9

4. - In many places in the text of the manuscript, the structure of sentences and wording of tasks has been changed A scheme of references to equations and formulas is applied in the text of the article in the Eq.2 format, Exp.4, with rare exceptions, where it is extremely difficult to do this by context, for example, in Sections Results, Discussions, when the results of numerical calculations and comments on the graphs of calculated quantities and in tables are described. There are used symbols in parentheses (Exp.22.24)

5- These recommendations have been implemented.

6- These recommendations have been implemented.

7- Numerical calculations are reduced and, in a more visual format, transferred to the third paragraph after Exp.18,19.

8- Pre-numbered formulas have been numbered except for those expressions that are intermediate.

9- the English language level  edited 

Round 2

Reviewer 1 Report

I am glad that the concerns have been addressed.