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    Theoretical simulation of the STM and Raman images of phthalocyanine and deprotonated phthalocyanine molecules

    Ziwei Ma1, Bozong Yao1, Dingwei Chu2, Zhen Xie2, Sai Duan3,*, and Guangjun Tian1,†

    • 1State Key Laboratory of Metastable Materials Science and Technology and Hebei Key Laboratory of Microstructural Material Physics, School of Science, Yanshan University, Qinhuangdao 066004, People's Republic of China
    • 2Shandong Province Key Laboratory of Medical Physics and Image Processing Technology, School of Physics and Electronics, Shandong Normal University, Jinan 250014, People's Republic of China
    • 3State Key Laboratory of Porous Materials for Separation and Conversion, Shanghai Key Laboratory of Molecular Catalysis and Innovative Materials, MOE Key Laboratory of Computational Physical Sciences, Research Center for Chemical Theory, Department of Chemistry, Fudan University, Shanghai 200438, People's Republic of China

    • *Contact author: duansai@fudan.edu.cn
    • †Contact author: tian@ysu.edu.cn

    Phys. Rev. B 112, 125417 – Published 15 September, 2025

    DOI: https://doi.org/10.1103/ndy5-r2nb

    Abstract

    Phthalocyanine (H2Pc) based molecules are widely used as model systems in scanning tunneling microscopy (STM) based surface characterizations. In the present work, we carried out theoretical simulations on the STM images of H2Pc and deprotonated phthalocyanine (HPc−) molecules by combining density functional theory calculations with Bardeen's approximation. The obtained STM images for the frontier molecular orbitals of the molecular systems resemble nicely the previously reported experimental features. It was found that the deprotonation process can lead to more profound effects for the lowest unoccupied molecular orbital (LUMO). Particularly, the ringlike feature in the central cavity of H2Pc as found in the LUMO was reduced to a half ring that is most bright in the position of the removed proton in HPc−, which corrects the intuitive assignment in the previous studies. The position and shape of the half ring feature in the central cavity coincide with the spatial distribution of the high negative values in the electrostatic potential of the molecule. Detailed analysis suggests that such a feature should be attributed to the asymmetric distribution of the wave function of the LUMO in the cavity of the deprotonated HPc−. Raman images for vibrational modes associated with the central H atoms of the two molecular systems were also simulated based on an effective field Hamiltonian. The good correspondence between the Raman images and the molecular vibrations suggests it could be applied to decisively identify the position of the remaining H atom in the HPc−.

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