Re: [SIESTA-L] question about elastic constant
Respected Sushil Auluck, Thanks for your kind reply. As you said that the term means of order delta cube. But I just want to know the equation of that term. Means how that order delta cube, mathematically looks like. I asked this because, using that equation, I have to find the elastic constants. regards Bipul Rakshit PhD in Physics Computational Research Lab. Barkatullah University, Bhopal 462 026, India Mob.: +919713445650 --- On Mon, 13/7/09, Sushil Auluck saul...@iitk.ac.in wrote: From: Sushil Auluck saul...@iitk.ac.in Subject: Re: [SIESTA-L] question about elastic constant To: SIESTA-L@listserv.uam.es Date: Monday, 13 July, 2009, 9:48 PM hi, that means terms of order delta cubed (delta**3).. s.auluck Dear Siesta Users, I have read the paper S. Q. Wang, H. Q. Ye, J. Phys.: Condens. Matter 15 (2003) p. 5307.  Most of the thing is clear to me, except in Equation (7) what is O(δ^3) ? What does 'O' here. Please guide me for the same. Bipul Rakshit PhD in Physics Computational Research Lab. Barkatullah University, Bhopal 462 026, India Mob.: +919713445650 See the Web's breaking stories, chosen by people like you.. Check out Yahoo! Buzz. http://in.buzz.yahoo.com/ Prof. Sushil Auluck Phone:+91-512-6797092/6148 Department of Physics +91-512-6798177(Home) Indian Institute of Technology Cell :+91-9305548667 Kanpur 208016 (UP) Fax :+91-512-6790914 India E-mail:saul...@iitk.ac.in ...:saul...@gmail.com http://www.iitk.ac.in/phy/People/phy_facvis.html http://www.iitk.ac.in/phy/New01/profile_SA.html ~ See the Web#39;s breaking stories, chosen by people like you. Check out Yahoo! Buzz. http://in.buzz.yahoo.com/
Re: [SIESTA-L] question about elastic constant
In mathematical notation, this implies that Terms O(d^3) will always be small compared to terms O(d^2) and O(d) for sufficiently small d. What's sufficiently small has to be determined on a case to case basis, but once you have checked that, it means we know that there are more terms, but we can neglect them because they are O(d^3) and d is small. Herbert bipul rakshit wrote: Respected Sushil Auluck, Thanks for your kind reply. As you said that the term means of order delta cube. But I just want to know the equation of that term. Means how that order delta cube, mathematically looks like. I asked this because, using that equation, I have to find the elastic constants. regards Bipul Rakshit PhD in Physics Computational Research Lab. Barkatullah University, Bhopal 462 026, India Mob.: +919713445650 --- On *Mon, 13/7/09, Sushil Auluck /saul...@iitk.ac.in/* wrote: From: Sushil Auluck saul...@iitk.ac.in Subject: Re: [SIESTA-L] question about elastic constant To: SIESTA-L@listserv.uam.es Date: Monday, 13 July, 2009, 9:48 PM hi, that means terms of order delta cubed (delta**3).. s.auluck Dear Siesta Users, I have read the paper S. Q. Wang, H. Q. Ye, J. Phys.: Condens. Matter 15 (2003) p. 5307.  Most of the thing is clear to me, except in Equation (7) what is O(δ^3) ? What does 'O' here. Please guide me for the same. Bipul Rakshit PhD in Physics Computational Research Lab. Barkatullah University, Bhopal 462 026, India Mob.: +919713445650 See the Web's breaking stories, chosen by people like you. Check out Yahoo! Buzz. http://in.buzz.yahoo.com/ Prof. Sushil Auluck Phone:+91-512-6797092/6148 Department of Physics +91-512-6798177(Home) Indian Institute of Technology Cell :+91-9305548667 Kanpur 208016 (UP) Fax :+91-512-6790914 IndiaE-mail:saul...@iitk.ac.in /mc/compose?to=saul...@iitk.ac.in ...:saul...@gmail.com /mc/compose?to=saul...@gmail.com http://www.iitk.ac.in/phy/People/phy_facvis.html http://www.iitk.ac.in/phy/New01/profile_SA.html ... ~ See the Web's breaking stories, chosen by people like you. Check out Yahoo! Buzz http://in.rd.yahoo.com/tagline_buzz_1/*http://in.buzz.yahoo.com/. -- Herbert Fruchtl Senior Scientific Computing Officer School of Chemistry, School of Mathematics and Statistics University of St Andrews -- The University of St Andrews is a charity registered in Scotland: No SC013532
Re: [SIESTA-L] question about elastic constant
I did not read the paper, but O(delta^3) term should be the omitted term in series expansion, and it looks like Const delta^3. To recover the value of the constant, one should repeat the derivation of equation and keep the next order term. Valentin. bipul rakshit wrote: Respected Sushil Auluck, Thanks for your kind reply. As you said that the term means of order delta cube. But I just want to know the equation of that term. Means how that order delta cube, mathematically looks like. I asked this because, using that equation, I have to find the elastic constants. regards Bipul Rakshit PhD in Physics Computational Research Lab. Barkatullah University, Bhopal 462 026, India Mob.: +919713445650 --- On Mon, 13/7/09, Sushil Auluck saul...@iitk.ac.in wrote: From: Sushil Auluck saul...@iitk.ac.in Subject: Re: [SIESTA-L] question about elastic constant To: SIESTA-L@listserv.uam.es Date: Monday, 13 July, 2009, 9:48 PM hi, that means terms of order delta cubed (delta**3).. s.auluck Dear Siesta Users, I have read the paper S. Q. Wang, H. Q. Ye, J. Phys.: Condens. Matter 15 (2003) p. 5307. Most of the thing is clear to me, except in Equation (7) what is O(^3) ? What does 'O' here. Please guide me for the same. Bipul Rakshit PhD in Physics Computational Research Lab. Barkatullah University, Bhopal 462 026, India Mob.: +919713445650 See the Web's breaking stories, chosen by people like you. Check out Yahoo! Buzz. http://in.buzz.yahoo.com/ Prof. Sushil Auluck Phone:+91-512-6797092/6148 Department of Physics +91-512-6798177(Home) Indian Institute of Technology Cell :+91-9305548667 Kanpur 208016 (UP) Fax :+91-512-6790914 IndiaE-mail:saul...@iitk.ac.in ...:saul...@gmail.com http://www.iitk.ac.in/phy/People/phy_facvis.html http://www.iitk.ac.in/phy/New01/profile_SA.html ... ~ See the Web's breaking stories, chosen by people like you. Check out Yahoo! Buzz. -- Valentin V. Karassev __ University of Florida Quantum Theory Project 2300 NPB #92 P.O. Box 118435 Gainesville, FL, 32611-8435 tel: (352)870-2453 fax: (352)392-8722 __ C. Quimica, IVIC tel/fax: 58(212)504-1356 web: http://www.ivic.ve/quimica/fqteorica/
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