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    Article

    Factors determining bond angles from a classical valence bond perspective. Covalent structure of H2O

    We identify the energy contributions that govern the interorbital and internuclear angles in the classical covalent structure of H2O. The central atom valence state term plays a primary role in H2O and other AH2 ...

    Robert G. A. R. Maclagan, Bernard Kirtman in Theoretica chimica acta (1985)

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    Chapter

    Local Space Approximation Methods for Correlated Electronic Structure Calculations in Large Delocalized Systems that are Locally Perturbed

    Rigorous electronic structure calculations including correlation at all common levels of theory are feasible for large delocalized systems that are locally perturbed using the generic local space approximation...

    Bernard Kirtman in Correlation and Localization (1999)

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    Chapter

    Elongation Method: Towards Linear Scaling for Electronic Structure of Random Polymers and other Quasilinear Materials

    We present the linear scaling elongation method for Hartree-Fock and Kohn-Sham electronic structure calculations of either periodic or aperiodic quasi-one-dimensional systems. Linear scaling is achieved throug...

    Feng Long Gu, Bernard Kirtman, Yuriko Aoki in Linear-Scaling Techniques in Computational… (2011)

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    Article

    On the dipolar electric field response of large systems

    Whereas the definition of the dipole moment operator for any finite system, independent of its size, is trivial, it is only within the last 1–2 decades that expressions have been proposed (based on the indepen...

    Michael Springborg, Bernard Kirtman in Theoretical Chemistry Accounts (2011)

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    Article

    Alkali metal do** effect on static first hyperpolarizabilities of PMI chains

    An ab initio study of the effect on nonlinear optical (NLO) properties of medium-size polymethineimine (PMI) chains caused by do** with an alkali metal atom along the backbone is presented. Both the electron...

    Ling Zhi Kang, Talgat Inerbaev, Bernard Kirtman in Theoretical Chemistry Accounts (2011)

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    Chapter and Conference Paper

    On Converse Piezoelectricity

    We review theoretical treatments of large regular non-conducting systems exposed to an electrostatic field. The field will induce a structural change (our primary focus) that depends noticeably upon the surfac...

    Michael Springborg, Bernard Kirtman in Advances in Quantum Methods and Applicatio… (2013)

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    Book

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    Chapter

    Survey of Nonlinear Optical Materials

    This chapter contains a brief summary of various NLO processes as well as materials that show particularly large responses.

    Feng Long Gu, Yuriko Aoki in Calculations on nonlinear optical properti… (2015)

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    Chapter

    Future Prospects

    There are many chemical systems of interest that are too large to be studied by means of conventional quantum chemistry computational methods

    Feng Long Gu, Yuriko Aoki in Calculations on nonlinear optical properti… (2015)

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    Chapter

    Quantum-Mechanical Treatment of Responses to Electric Fields—Extended Systems

    In this chapter we discuss the quantum-mechanical treatment of extended systems exposed to electric fields. Special emphasis is put on systems that are regular and so large that they can be considered as being...

    Feng Long Gu, Yuriko Aoki in Calculations on nonlinear optical properti… (2015)

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    Chapter

    Applications of the Elongation Method to NLO Properties

    In this chapter we present our methodologies for calculating L&NLO properties of large systems using the ELG approach. In addition to the issue of linear scaling, the accuracy of the calculated field-free, fin...

    Feng Long Gu, Yuriko Aoki in Calculations on nonlinear optical properti… (2015)

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    Living Reference Work Entry In depth

    The Response of Extended Systems to Electrostatic Fields

    We present an overview of our understanding of how extended materials exposed to an electrostatic field can be treated theoretically. We concentrate on materials that are regular so that they can be approximat...

    Michael Springborg, Bernard Kirtman in Handbook of Computational Chemistry

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    Chapter

    Quantum-Mechanical Treatment of Responses to Electric Fields—Molecular Systems

    In this chapter we first give a brief overview of theoretical methods for calculating the responses of smaller or larger, finite systems to electric fields. Subsequently, we concentrate on the quantum-mechanic...

    Feng Long Gu, Yuriko Aoki in Calculations on nonlinear optical properti… (2015)

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    Chapter

    The Elongation Method

    The elongation (ELG) method is a theoretical procedure for building up an arbitrary system by adding small fragments, one by one, to an original and growing cluster. In this chapter the basic features of this ...

    Feng Long Gu, Yuriko Aoki in Calculations on nonlinear optical properti… (2015)

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    Reference Work Entry In depth

    The Response of Extended Systems to Electrostatic Fields

    We present an overview of our understanding of how extended materials exposed to an electrostatic field can be treated theoretically. We concentrate on materials that are regular so that they can be approximat...

    Michael Springborg, Mohammad Molayem in Handbook of Computational Chemistry (2017)

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    Chapter

    Response Properties of Periodic Materials Subjected to External Electric and Magnetic Fields

    The ab initio treatment of external field response in crystalline solids poses particular challenges, since the operator representing the external field must be reformulated so to be consistent with periodic b...

    Bernard Kirtman, Lorenzo Maschio, Michel Rérat in Frontiers of Quantum Chemistry (2018)

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    Article

    Ab initio calculation of nonlinear optical properties for chiral carbon nanotubes. Second harmonic generation and dc-Pockels effect

    Although the static first hyperpolarizability \(\beta\) β ...

    Michel Rérat, Panaghiotis Karamanis, Bartolomeo Civalleri in Theoretical Chemistry Accounts (2018)