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15 results on '"Veccham, Srimukh Prasad"'

1. Assessment of the Performance of Density Functionals for Predicting Potential Energy Curves in Hydrogen Storage Applications

Author

Veccham, Srimukh Prasad and Head-Gordon, Martin

Subjects
Physics - Chemical Physics
Abstract

The availability of accurate computational tools for modeling and simulation is vital to accelerate the discovery of materials capable of storing hydrogen (H2) under given parameters of pressure swing and temperature. Previously, we compiled the H2Bind275 dataset consisting of equilibrium geometries and assessed the performance of 55 density functionals over this dataset (Veccham, S. P.; Head-Gordon, M. J. Chem. Theory Comput., 2020, 16, 4963--4982). As it is crucial for computational tools to accurately model the entire potential energy curve (PEC), in addition to the equilibrium geometry, we have extended this dataset with 389 new data points to include two compressed and three elongated geometries along 78 PECs for H2 binding, forming the H2Bind78x7 dataset. Assessing the performance of 55 density functionals on this significantly larger and more comprehensive H2Bind78x7 dataset, we have identified the best performing density functionals for H2 binding applications: PBE0-DH, $\omega$B97X-V, $\omega$B97M-V, and DSD-PBEPBE-D3(BJ). Addition of Hartree Fock exchange improves the performance of density functionals, albeit not uniformly throughout the PEC. We recommend the usage of wB97X-V and wB97M-V density functionals as they give good performance for both geometries and energies. In addition, we have also identified B97M-V and B97M-rV as the best semi-local density functionals for predicting H2 binding energy at its equilibrium geometry.

Published
2021

2. A Non-Perturbative Pairwise-Additive Analysis of Charge Transfer Contributions to Intermolecular Interaction Energies

Author

Veccham, Srimukh Prasad, Lee, Joonho, Mao, Yuezhi, Horn, Paul R., and Head-Gordon, Martin

Subjects
Physics - Chemical Physics
Abstract

Energy decomposition analysis (EDA) based on absolutely localized molecular orbitals (ALMOs) decomposes the interaction energy between molecules into physically interpretable components like geometry distortion, frozen interactions, polarization, and charge transfer (CT, also sometimes called charge delocalization) interactions. In this work, a numerically exact scheme to decompose the CT interaction energy into pairwise additive terms is introduced for the ALMO-EDA using density functional theory. Unlike perturbative pairwise charge-decomposition analysis, the new approach does not break down for strongly interacting systems, or show significant exchange-correlation functional dependence in the decomposed energy components. Both the energy lowering and the charge flow associated with CT can be decomposed. Complementary occupied-virtual orbital pairs (COVPs) that capture the dominant donor and acceptor CT orbitals are obtained for the new decomposition. It is applied to systems with different types of interactions including DNA base-pairs, borane-ammonia adducts, and transition metal hexacarbonyls. While consistent with most existing understanding of the nature of CT in these systems, the results also reveal some new insights into the origin of trends in donor-acceptor interactions.

Published
2020
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3. Density Functionals for Hydrogen Storage: Defining the H2Bind275 Test Set with Ab Initio Benchmarks and Assessment of 55 Functionals

Author

Veccham, Srimukh Prasad and Head-Gordon, Martin

Subjects
Physics - Chemical Physics
Abstract

Efficient and high capacity storage materials are indispensable for a hydrogen-based economy. In silico tools can accelerate the process of discovery of new adsorbent materials with optimal hydrogen adsorption enthalpies. Density functional theory is well-poised to become a very useful tool for enabling high-throughput screening of potential materials. In this work, we have identified density functional approximations that provide good performance for hydrogen binding applications following a two-pronged approach. First, we have compiled a dataset (H2Bind275) that comprehensively represents the hydrogen binding problem capturing the chemical and mechanistic diversity in the binding sites encountered in hydrogen storage materials. We have also computed reference interaction energies for this dataset using coupled cluster theory. Secondly, we have assessed the performance of 55 density functional approximations for predicting H$_2$ interaction energies and have identified two hybrid density functionals ($\omega$B97X-V and $\omega$B97M-V), two double hybrid density functionals (DSD-PBEPBE-D3(BJ) and PBE0-DH), and one semi-local density functional (B97M-V) as the best performing ones. We have recommended the addition of empirical dispersion corrections to systematically underbinding density functionals like revPBE, BLYP, and B3LYP for improvements in performance at negligible additional cost. We have also recommended the usage of the def2-TZVPP basis set as it represents a good compromise between accuracy and cost, limiting the finite basis set errors to less than 1kJ/mol., Comment: 63 pages, 11 figures

Published
2020

4. Assessment of Performance of Density Functionals for Predicting Potential Energy Curves in Hydrogen Storage Applications

Author

Veccham, Srimukh Prasad and Head-Gordon, Martin

Subjects
Chemical Sciences, Physical Chemistry, Affordable and Clean Energy, Atomic, Molecular, Nuclear, Particle and Plasma Physics, Physical Chemistry (incl. Structural), Theoretical and Computational Chemistry, Physical chemistry, Theoretical and computational chemistry, Atomic, molecular and optical physics
Abstract

The availability of accurate computational tools for modeling and simulation is vital to accelerate the discovery of materials capable of storing hydrogen (H2) under given parameters of pressure swing and temperature. Previously, we compiled the H2Bind275 data set consisting of equilibrium geometries and assessed the performance of 55 density functionals over this data set (Veccham, S. P.; Head-Gordon, M. J. Chem. Theory Comput. 2020, 16, 4963-4982). As it is crucial for computational tools to accurately model the entire potential energy curve (PEC), in addition to the equilibrium geometry, we extended this data set with 389 new data points to include two compressed and three elongated geometries along 78 PECs for H2 binding, forming the H2Bind78 × 7 data set. By assessing the performance of 55 density functionals on this significantly larger and more comprehensive H2Bind78 × 7 data set, we identified the best performing density functionals for H2 binding applications: PBE0-DH, ωB97X-V, ωB97M-V, and DSD-PBEPBE-D3(BJ). The addition of Hartree-Fock exchange improves the performance of density functionals, albeit not uniformly throughout the PEC. We recommend the usage of ωB97X-V and ωB97M-V density functionals as they offer good performance for both geometries and energies. In addition, we also identified B97M-V and B97M-rV as the best semilocal density functionals for predicting H2 binding energy at its equilibrium geometry.

Published
2021

5. A non-perturbative pairwise-additive analysis of charge transfer contributions to intermolecular interaction energies

Author

Veccham, Srimukh Prasad, Lee, Joonho, Mao, Yuezhi, Horn, Paul R, and Head-Gordon, Martin

Subjects
Inorganic Chemistry, Chemical Sciences, Physical Chemistry, Theoretical and Computational Chemistry, Affordable and Clean Energy, Amines, Ammonia, Base Pairing, Boranes, Coordination Complexes, DNA, Density Functional Theory, Hydrogen Bonding, Metals, Heavy, Models, Chemical, Static Electricity, Transition Elements, Chemical Physics
Abstract

Energy decomposition analysis (EDA) based on absolutely localized molecular orbitals (ALMOs) decomposes the interaction energy between molecules into physically interpretable components like geometry distortion, frozen interactions, polarization, and charge transfer (CT, also sometimes called charge delocalization) interactions. In this work, a numerically exact scheme to decompose the CT interaction energy into pairwise additive terms is introduced for the ALMO-EDA using density functional theory. Unlike perturbative pairwise charge-decomposition analysis, the new approach does not break down for strongly interacting systems, or show significant exchange-correlation functional dependence in the decomposed energy components. Both the energy lowering and the charge flow associated with CT can be decomposed. Complementary occupied-virtual orbital pairs (COVPs) that capture the dominant donor and acceptor CT orbitals are obtained for the new decomposition. It is applied to systems with different types of interactions including DNA base-pairs, borane-ammonia adducts, and transition metal hexacarbonyls. While consistent with most existing understanding of the nature of CT in these systems, the results also reveal some new insights into the origin of trends in donor-acceptor interactions.

Published
2021

6. Making Many-Body Interactions Nearly Pairwise Additive: The Polarized Many-Body Expansion Approach

Author

Veccham, Srimukh Prasad, Lee, Joonho, and Head-Gordon, Martin

Subjects
Physics - Chemical Physics
Abstract

The Many-Body Expansion (MBE) is a useful tool to simulate condensed phase chemical systems, often avoiding the steep computational cost of usual electronic structure methods. However, it often requires higher than 2-body terms to achieve quantitative accuracy. In this work, we propose the Polarized MBE (PolBE) method where each MBE energy contribution is treated as an embedding problem. In each energy term, a smaller fragment is embedded into a larger, polarized environment and only a small region is treated at the high-level of theory using embedded mean-field theory. The role of polarized environment was found to be crucial in providing quantitative accuracy at the 2-body level. PolBE accurately predicts non-covalent interaction energies for a number of systems, including CO$_2$, water, and hydrated ion clusters, with a variety of interaction mechanisms, from weak dispersion to strong electrostatics considered in this work. We further demonstrate that the PolBE interaction energy is predominantly pairwise unlike the usual vacuum MBE which requires higher-order terms to achieve similar accuracy. We numerically show that PolBE often performs better than other widely used embedded MBE methods such as the electrostatically embedded MBE. Owing to the lack of expensive diagonalization of Fock matrices and its embarrassingly parallel nature, PolBE is a promising way to access condensed phase systems with hybrid density functionals that are difficult to treat with currently available methods.

Published
2019
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7. An assessment of strategies for the development of solid-state adsorbents for vehicular hydrogen storage

Author

Allendorf, Mark D, Hulvey, Zeric, Gennett, Thomas, Ahmed, Alauddin, Autrey, Tom, Camp, Jeffrey, Seon Cho, Eun, Furukawa, Hiroyasu, Haranczyk, Maciej, Head-Gordon, Martin, Jeong, Sohee, Karkamkar, Abhi, Liu, Di-Jia, Long, Jeffrey R, Meihaus, Katie R, Nayyar, Iffat H, Nazarov, Roman, Siegel, Donald J, Stavila, Vitalie, Urban, Jeffrey J, Veccham, Srimukh Prasad, and Wood, Brandon C

Subjects
Chemical Sciences, Physical Chemistry, Affordable and Clean Energy, CSD-46-All CSGB, Energy
Abstract

Nanoporous adsorbents are a diverse category of solid-state materials that hold considerable promise for vehicular hydrogen storage. Although impressive storage capacities have been demonstrated for several materials, particularly at cryogenic temperatures, materials meeting all of the targets established by the U.S. Department of Energy have yet to be identified. In this Perspective, we provide an overview of the major known and proposed strategies for hydrogen adsorbents, with the aim of guiding ongoing research as well as future new storage concepts. The discussion of each strategy includes current relevant literature, strengths and weaknesses, and outstanding challenges that preclude implementation. We consider in particular metal-organic frameworks (MOFs), including surface area/volume tailoring, open metal sites, and the binding of multiple H2 molecules to a single metal site. Two related classes of porous framework materials, covalent organic frameworks (COFs) and porous aromatic frameworks (PAFs), are also discussed, as are graphene and graphene oxide and doped porous carbons. We additionally introduce criteria for evaluating the merits of a particular materials design strategy. Computation has become an important tool in the discovery of new storage materials, and a brief introduction to the benefits and limitations of computational predictions of H2 physisorption is therefore presented. Finally, considerations for the synthesis and characterization of hydrogen storage adsorbents are discussed.

Published
2018

9. Software for the frontiers of quantum chemistry: An overview of developments in the Q-Chem 5 package

Author

Epifanovsky, Evgeny, primary, Gilbert, Andrew T. B., additional, Feng, Xintian, additional, Lee, Joonho, additional, Mao, Yuezhi, additional, Mardirossian, Narbe, additional, Pokhilko, Pavel, additional, White, Alec F., additional, Coons, Marc P., additional, Dempwolff, Adrian L., additional, Gan, Zhengting, additional, Hait, Diptarka, additional, Horn, Paul R., additional, Jacobson, Leif D., additional, Kaliman, Ilya, additional, Kussmann, Jörg, additional, Lange, Adrian W., additional, Lao, Ka Un, additional, Levine, Daniel S., additional, Liu, Jie, additional, McKenzie, Simon C., additional, Morrison, Adrian F., additional, Nanda, Kaushik D., additional, Plasser, Felix, additional, Rehn, Dirk R., additional, Vidal, Marta L., additional, You, Zhi-Qiang, additional, Zhu, Ying, additional, Alam, Bushra, additional, Albrecht, Benjamin J., additional, Aldossary, Abdulrahman, additional, Alguire, Ethan, additional, Andersen, Josefine H., additional, Athavale, Vishikh, additional, Barton, Dennis, additional, Begam, Khadiza, additional, Behn, Andrew, additional, Bellonzi, Nicole, additional, Bernard, Yves A., additional, Berquist, Eric J., additional, Burton, Hugh G. A., additional, Carreras, Abel, additional, Carter-Fenk, Kevin, additional, Chakraborty, Romit, additional, Chien, Alan D., additional, Closser, Kristina D., additional, Cofer-Shabica, Vale, additional, Dasgupta, Saswata, additional, de Wergifosse, Marc, additional, Deng, Jia, additional, Diedenhofen, Michael, additional, Do, Hainam, additional, Ehlert, Sebastian, additional, Fang, Po-Tung, additional, Fatehi, Shervin, additional, Feng, Qingguo, additional, Friedhoff, Triet, additional, Gayvert, James, additional, Ge, Qinghui, additional, Gidofalvi, Gergely, additional, Goldey, Matthew, additional, Gomes, Joe, additional, González-Espinoza, Cristina E., additional, Gulania, Sahil, additional, Gunina, Anastasia O., additional, Hanson-Heine, Magnus W. D., additional, Harbach, Phillip H. P., additional, Hauser, Andreas, additional, Herbst, Michael F., additional, Hernández Vera, Mario, additional, Hodecker, Manuel, additional, Holden, Zachary C., additional, Houck, Shannon, additional, Huang, Xunkun, additional, Hui, Kerwin, additional, Huynh, Bang C., additional, Ivanov, Maxim, additional, Jász, Ádám, additional, Ji, Hyunjun, additional, Jiang, Hanjie, additional, Kaduk, Benjamin, additional, Kähler, Sven, additional, Khistyaev, Kirill, additional, Kim, Jaehoon, additional, Kis, Gergely, additional, Klunzinger, Phil, additional, Koczor-Benda, Zsuzsanna, additional, Koh, Joong Hoon, additional, Kosenkov, Dimitri, additional, Koulias, Laura, additional, Kowalczyk, Tim, additional, Krauter, Caroline M., additional, Kue, Karl, additional, Kunitsa, Alexander, additional, Kus, Thomas, additional, Ladjánszki, István, additional, Landau, Arie, additional, Lawler, Keith V., additional, Lefrancois, Daniel, additional, Lehtola, Susi, additional, Li, Run R., additional, Li, Yi-Pei, additional, Liang, Jiashu, additional, Liebenthal, Marcus, additional, Lin, Hung-Hsuan, additional, Lin, You-Sheng, additional, Liu, Fenglai, additional, Liu, Kuan-Yu, additional, Loipersberger, Matthias, additional, Luenser, Arne, additional, Manjanath, Aaditya, additional, Manohar, Prashant, additional, Mansoor, Erum, additional, Manzer, Sam F., additional, Mao, Shan-Ping, additional, Marenich, Aleksandr V., additional, Markovich, Thomas, additional, Mason, Stephen, additional, Maurer, Simon A., additional, McLaughlin, Peter F., additional, Menger, Maximilian F. S. J., additional, Mewes, Jan-Michael, additional, Mewes, Stefanie A., additional, Morgante, Pierpaolo, additional, Mullinax, J. Wayne, additional, Oosterbaan, Katherine J., additional, Paran, Garrette, additional, Paul, Alexander C., additional, Paul, Suranjan K., additional, Pavošević, Fabijan, additional, Pei, Zheng, additional, Prager, Stefan, additional, Proynov, Emil I., additional, Rák, Ádám, additional, Ramos-Cordoba, Eloy, additional, Rana, Bhaskar, additional, Rask, Alan E., additional, Rettig, Adam, additional, Richard, Ryan M., additional, Rob, Fazle, additional, Rossomme, Elliot, additional, Scheele, Tarek, additional, Scheurer, Maximilian, additional, Schneider, Matthias, additional, Sergueev, Nickolai, additional, Sharada, Shaama M., additional, Skomorowski, Wojciech, additional, Small, David W., additional, Stein, Christopher J., additional, Su, Yu-Chuan, additional, Sundstrom, Eric J., additional, Tao, Zhen, additional, Thirman, Jonathan, additional, Tornai, Gábor J., additional, Tsuchimochi, Takashi, additional, Tubman, Norm M., additional, Veccham, Srimukh Prasad, additional, Vydrov, Oleg, additional, Wenzel, Jan, additional, Witte, Jon, additional, Yamada, Atsushi, additional, Yao, Kun, additional, Yeganeh, Sina, additional, Yost, Shane R., additional, Zech, Alexander, additional, Zhang, Igor Ying, additional, Zhang, Xing, additional, Zhang, Yu, additional, Zuev, Dmitry, additional, Aspuru-Guzik, Alán, additional, Bell, Alexis T., additional, Besley, Nicholas A., additional, Bravaya, Ksenia B., additional, Brooks, Bernard R., additional, Casanova, David, additional, Chai, Jeng-Da, additional, Coriani, Sonia, additional, Cramer, Christopher J., additional, Cserey, György, additional, DePrince, A. Eugene, additional, DiStasio, Robert A., additional, Dreuw, Andreas, additional, Dunietz, Barry D., additional, Furlani, Thomas R., additional, Goddard, William A., additional, Hammes-Schiffer, Sharon, additional, Head-Gordon, Teresa, additional, Hehre, Warren J., additional, Hsu, Chao-Ping, additional, Jagau, Thomas-C., additional, Jung, Yousung, additional, Klamt, Andreas, additional, Kong, Jing, additional, Lambrecht, Daniel S., additional, Liang, WanZhen, additional, Mayhall, Nicholas J., additional, McCurdy, C. William, additional, Neaton, Jeffrey B., additional, Ochsenfeld, Christian, additional, Parkhill, John A., additional, Peverati, Roberto, additional, Rassolov, Vitaly A., additional, Shao, Yihan, additional, Slipchenko, Lyudmila V., additional, Stauch, Tim, additional, Steele, Ryan P., additional, Subotnik, Joseph E., additional, Thom, Alex J. W., additional, Tkatchenko, Alexandre, additional, Truhlar, Donald G., additional, Van Voorhis, Troy, additional, Wesolowski, Tomasz A., additional, Whaley, K. Birgitta, additional, Woodcock, H. Lee, additional, Zimmerman, Paul M., additional, Faraji, Shirin, additional, Gill, Peter M. W., additional, Head-Gordon, Martin, additional, Herbert, John M., additional, and Krylov, Anna I., additional

Published
2021
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15. Software for the frontiers of quantum chemistry : An overview of developments in the Q-Chem 5 package

Author

Epifanovsky, Evgeny, Gilbert, Andrew T. B., Feng, Xintian, Lee, Joonho, Mao, Yuezhi, Mardirossian, Narbe, Pokhilko, Pavel, White, Alec F., Coons, Marc P., Dempwolff, Adrian L., Gan, Zhengting, Hait, Diptarka, Horn, Paul R., Jacobson, Leif D., Kaliman, Ilya, Kussmann, Jörg, Lange, Adrian W., Lao, Ka Un, Levine, Daniel S., Liu, Jie, McKenzie, Simon C., Morrison, Adrian F., Nanda, Kaushik D., Plasser, Felix, Rehn, Dirk R., Vidal, Marta L., You, Zhi-Qiang, Zhu, Ying, Alam, Bushra, Albrecht, Benjamin J., Aldossary, Abdulrahman, Alguire, Ethan, Andersen, Josefine H., Athavale, Vishikh, Barton, Dennis, Begam, Khadiza, Behn, Andrew, Bellonzi, Nicole, Bernard, Yves A., Berquist, Eric J., Burton, Hugh G. A., Carreras, Abel, Carter-Fenk, Kevin, Chakraborty, Romit, Chien, Alan D., Closser, Kristina D., Cofer-Shabica, Vale, Dasgupta, Saswata, de Wergifosse, Marc, Deng, Jia, Diedenhofen, Michael, Do, Hainam, Ehlert, Sebastian, Fang, Po-Tung, Fatehi, Shervin, Feng, Qingguo, Friedhoff, Triet, Gayvert, James, Ge, Qinghui, Gidofalvi, Gergely, Goldey, Matthew, Gomes, Joe, González-Espinoza, Cristina E., Gulania, Sahil, Gunina, Anastasia O., Hanson-Heine, Magnus W. D., Harbach, Phillip H. P., Hauser, Andreas, Herbst, Michael F., Hernández Vera, Mario, Hodecker, Manuel, Holden, Zachary C., Houck, Shannon, Huang, Xunkun, Hui, Kerwin, Huynh, Bang C., Ivanov, Maxim, Jász, Ádám, Ji, Hyunjun, Jiang, Hanjie, Kaduk, Benjamin, Kähler, Sven, Khistyaev, Kirill, Kim, Jaehoon, Kis, Gergely, Klunzinger, Phil, Koczor-Benda, Zsuzsanna, Koh, Joong Hoon, Kosenkov, Dimitri, Koulias, Laura, Kowalczyk, Tim, Krauter, Caroline M., Kue, Karl, Kunitsa, Alexander, Kus, Thomas, Ladjánszki, István, Landau, Arie, Lawler, Keith V., Lefrancois, Daniel, Lehtola, Susi, Li, Run R., Li, Yi-Pei, Liang, Jiashu, Liebenthal, Marcus, Lin, Hung-Hsuan, Lin, You-Sheng, Liu, Fenglai, Liu, Kuan-Yu, Loipersberger, Matthias, Luenser, Arne, Manjanath, Aaditya, Manohar, Prashant, Mansoor, Erum, Manzer, Sam F., Mao, Shan-Ping, Marenich, Aleksandr V., Markovich, Thomas, Mason, Stephen, Maurer, Simon A., McLaughlin, Peter F., Menger, Maximilian F. S. J., Mewes, Jan-Michael, Mewes, Stefanie A., Morgante, Pierpaolo, Mullinax, J. Wayne, Oosterbaan, Katherine J., Paran, Garrette, Paul, Alexander C., Paul, Suranjan K., Pavošević, Fabijan, Pei, Zheng, Prager, Stefan, Proynov, Emil I., Rák, Ádám, Ramos-Cordoba, Eloy, Rana, Bhaskar, Rask, Alan E., Rettig, Adam, Richard, Ryan M., Rob, Fazle, Rossomme, Elliot, Scheele, Tarek, Scheurer, Maximilian, Schneider, Matthias, Sergueev, Nickolai, Sharada, Shaama M., Skomorowski, Wojciech, Small, David W., Stein, Christopher J., Su, Yu-Chuan, Sundstrom, Eric J., Tao, Zhen, Thirman, Jonathan, Tornai, Gábor J., Tsuchimochi, Takashi, Tubman, Norm M., Veccham, Srimukh Prasad, Vydrov, Oleg, Wenzel, Jan, Witte, Jon, Yamada, Atsushi, Yao, Kun, Yeganeh, Sina, Yost, Shane R., Zech, Alexander, Zhang, Igor Ying, Zhang, Xing, Zhang, Yu, Zuev, Dmitry, Aspuru-Guzik, Alán, Bell, Alexis T., Besley, Nicholas A., Bravaya, Ksenia B., Brooks, Bernard R., Casanova, David, Chai, Jeng-Da, Coriani, Sonia, Cramer, Christopher J., Cserey, György, DePrince, A. Eugene, DiStasio, Robert A., Dreuw, Andreas, Dunietz, Barry D., Furlani, Thomas R., Goddard, William A., Hammes-Schiffer, Sharon, Head-Gordon, Teresa, Hehre, Warren J., Hsu, Chao-Ping, Jagau, Thomas-C., Jung, Yousung, Klamt, Andreas, Kong, Jing, Lambrecht, Daniel S., Liang, WanZhen, Mayhall, Nicholas J., McCurdy, C. William, Neaton, Jeffrey B., Ochsenfeld, Christian, Parkhill, John A., Peverati, Roberto, Rassolov, Vitaly A., Shao, Yihan, Slipchenko, Lyudmila V., Stauch, Tim, Steele, Ryan P., Subotnik, Joseph E., Thom, Alex J. W., Tkatchenko, Alexandre, Truhlar, Donald G., Van Voorhis, Troy, Wesolowski, Tomasz A., Whaley, K. Birgitta, Woodcock, H. Lee, Zimmerman, Paul M., Faraji, Shirin, Gill, Peter M. W., Head-Gordon, Martin, Herbert, John M., and Krylov, Anna I.

Subjects
3. Good health
Abstract

The journal of chemical physics 155(8), 084801 (2021). doi:10.1063/5.0055522, Published by American Institute of Physics, Melville, NY

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