Because you mentioned that you are willing to change to biblatex please see the MWE later.
For biblatex are own styles defined, the one simular to your used rsc.bst is chem-rsc and best is to use biber instead of your used bibtex. The following code does what you need (package filecontents is only used to have bib file and tex code together in one compilable code; package csquotes is needed for biblatex and \jobname.bib names the bibfile created with filecontents):
\usepackage{csquotes}
\usepackage[%
backend=biber, % <====================================================
doi=false, % show no doi in the bibliography <====================
url=false,
isbn=false,
style=chem-rsc % <====================================================
]{biblatex}
\addbibresource{\jobname.bib} % Use bib file created with filecontents
The following code builds the link that should be showed. Depending on the given inputs, it shows the doi, if the doi is not available the url, if no url avaiable the isbn etc.:
\newbibmacro{string+doiurlisbn}[1]{%
\iffieldundef{doi}{%
\iffieldundef{url}{%
\iffieldundef{isbn}{%
\iffieldundef{issn}{%
#1%
}{%
\href{http://books.google.com/books?vid=ISSN\thefield{issn}}{#1}%
}%
}{%
\href{http://books.google.com/books?vid=ISBN\thefield{isbn}}{#1}%
}%
}{%
\href{\thefield{url}}{#1}%
}%
}{%
\href{http://dx.doi.org/\thefield{doi}}{#1}%
}%
}
The following code defines, that the titles or the journal names becomes clickable and shows the given doi, or ...
\DeclareFieldFormat{title}{\usebibmacro{string+doiurlisbn}{\mkbibemph{#1}}}
\DeclareFieldFormat{journaltitle}{\usebibmacro{string+doiurlisbn}{\mkbibemph{#1}}}
\DeclareFieldFormat[article,incollection]{title}%
{\usebibmacro{string+doiurlisbn}{\mkbibquote{#1}}}
If you want to change the sign between two or more auhors and the sign after the last author see the following code and change it as you need:
\renewcommand*{\multinamedelim}{\addcomma\space} % \addand
\renewcommand*{\finalnamedelim}{\addcomma\space} % \addpunct
Because it is not so easy to link the doi to the complete printed bib item I only linked the title or the journal name of your given example.
With the following comlete MWE
\RequirePackage{filecontents}
\begin{filecontents*}{\jobname.bib}
@article{RN8437,
author = {Garrett, C. G. B. and Brattain, W. H.},
title = {Physical theory of semiconductor surfaces},
journal = {Physical Review},
volume = {99},
number = {2},
pages = {376-387},
ISSN = {0031-899X},
DOI = {10.1103/PhysRev.99.376},
year = {1955},
type = {Journal Article},
}
@book{RN8423,
author = {Madou, Marc J. and Morrison, S. Roy},
title = {Chemical sensing with solid state devices},
publisher = {Academic Press},
address = {San Diego},
series = {Chemical sensing with solid state devices},
ISBN = {978-0-12-464965-1},
DOI = {10.1016/B978-0-12-464965-1.50006-5},
url = {http://www.sciencedirect.com/science/article/pii/B9780124649651500065},
year = {1989},
type = {Book},
}
\end{filecontents*}
\documentclass[11pt,b5paper,twoside,openright]{report}
\usepackage[T1]{fontenc}
\usepackage{times}
\usepackage{csquotes}
\usepackage[%
backend=biber, % <====================================================
doi=false,
url=false,
isbn=false,
style=chem-rsc % <====================================================
]{biblatex}
\addbibresource{\jobname.bib}
\newbibmacro{string+doiurlisbn}[1]{%
\iffieldundef{doi}{%
\iffieldundef{url}{%
\iffieldundef{isbn}{%
\iffieldundef{issn}{%
#1%
}{%
\href{http://books.google.com/books?vid=ISSN\thefield{issn}}{#1}%
}%
}{%
\href{http://books.google.com/books?vid=ISBN\thefield{isbn}}{#1}%
}%
}{%
\href{\thefield{url}}{#1}%
}%
}{%
\href{http://dx.doi.org/\thefield{doi}}{#1}%
}%
}
%\DeclareFieldFormat{default}{\usebibmacro{string+doiurlisbn}{#1}}
\DeclareFieldFormat{title}{\usebibmacro{string+doiurlisbn}{\mkbibemph{#1}}}
\DeclareFieldFormat{journaltitle}{\usebibmacro{string+doiurlisbn}{\mkbibemph{#1}}}
\DeclareFieldFormat[article,incollection]{title}%
{\usebibmacro{string+doiurlisbn}{\mkbibquote{#1}}}
\renewcommand*{\multinamedelim}{\addcomma\space} % \addand
\renewcommand*{\finalnamedelim}{\addcomma\space} % \addpunct
\usepackage{xcolor}
\usepackage{hyperref}
\hypersetup{
colorlinks=true,
urlcolor=blue, % color of external links
linkcolor=black, % color of toc, list of figs etc.
citecolor=blue, % color of links to bibliography
}
\begin{document}
\phantomsection
\addcontentsline{toc}{chapter}{bibliography} % bibliography in table of contents
This is rsc \cite{RN8423} reference style \cite{RN8437}.
%\nocite{*} % to test the complete bib file
\printbibliography
\end{document}
I get the following result:

Change the delimiters as you need please.
\documentclass{...}and ending with\end{document}. – samcarter_is_at_topanswers.xyz Jun 12 '16 at 15:21rsc.bstand.bibfiles. Also, I have added the minimal working example with bibliography. – abideen Jun 13 '16 at 04:18biblatex: http://tex.stackexchange.com/questions/48400/biblatex-make-title-hyperlink-to-dois-url-or-isbn – samcarter_is_at_topanswers.xyz Jun 13 '16 at 10:46rscstyle because of my references, there are many chemical formulae or names in the titles. So I don't want to spend much time correcting them by subscripting or supercripting the texts. I am willing to use any other style in which title field is hidden. Also, I am willing to switch tobiblatex... – abideen Jun 14 '16 at 03:16