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The geometrical structure and electronic properties of trivalent Ho3+ doped Y2O3 crystals: a first-principles study

Meng Juab, Lu Pana, Chuanzhao Zhang*b, Yuanyuan Jinb, Mingmin Zhong*a, Song Lib, Shichang Lic, Tie Yanga and Xiaotian Wang*a
aSchool of Physical Science and Technology, Southwest University, Chongqing 400715, China. E-mail:;
bDepartment of Physics and Optoelectronic Engineering, Yangtze University, Jingzhou 434023, China. E-mail:
cSchool of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received 12th June 2020 , Accepted 29th July 2020

First published on 4th August 2020


Trivalent rare-earth holmium ion (Ho3+) doped yttrium oxide (Y2O3) has attracted great research interest owing to its unique optoelectronic properties and excellent performances in many new-type laser devices. But the crystal structures of the Ho3+-doped Y2O3 system (Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho) are still unclear. Here, we have carried out a first-principle study on the structural evolution of the trivalent Ho3+ doped Y2O3 by using the CALYPSO structure search method. The results indicate that the lowest-energy structure of Ho3+-doped Y2O3 possesses a standardized monoclinic P2 phase. It is found that the doped Ho3+ ion are likely to occupy the sites of Y3+ in the host crystal lattice, forming the [HoO6]9− local structure with C2 site symmetry. Electronic structure calculations reveal that the band gap value of Ho3+-doped Y2O3 is approximately 4.27 eV, suggesting the insulating character of Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho system. These findings could provide fundamental insights to understand the atomic interactions in crystals as well as the information of electronic properties for other rare-earth-doped materials.

1. Introduction

Rare-earth (RE) doped laser materials have attracted enormous interests because of their abundant transition channels and sharp luminescence bands.1–5 The potential applications have been widely investigated in a diversity of fields, such as optical imaging, quantum cascade lasers, high-density optical data storage and biophotonic areas.6–9 A recent study reveals that the directly pumped Ho3+-doped silica microsphere may be an excellent candidate for fabricating 2 μm laser, which can serve as laser-emitting source for mid-infrared telecommunications.10

Trivalent holmium ion (4f10 configuration) is a greatly promising laser ion due to the substantial transition channels at various wavelengths in the UV, visible and infrared regions.11,12 A well-known emission transition 5I75I8 with wavelength near 2 μm of Ho3+ can serve as the so called “eye safe” solid-state laser system.13 Yttrium oxide (Y2O3) is a typical cubic phase crystal structure with Ia[3 with combining macron] space group, which possesses low phonon energy and desirable physical properties including low thermal expansion, high melting point and photochemical stability.14–16 The Y3+ ions of yttrium oxide crystal are six-fold coordinated to nearest O2− ligands, forming a [YO6]9− local unit with C2 site symmetry.17 After being doped with appropriate rare-earth ions, Y2O3 crystals can serve as excellent laser host materials because of their high thermal conductivity and low phonon energy.18 In recent years, Ho3+-doped Y2O3 (Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho) crystal has been the subject of intensive investigations as a great promising laser material.19 Laversenne et al. first demonstrated the growth of Ho3+-doped Y2O3 single crystal by using the Laser Heated Pedestal Growth (LHPG) technique.20 In addition, they especially analyzed the dynamical laser resonant characteristics of Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho. Qin et al. studied the luminescence spectra of Ho3+-doped Y2O3 under the excitation of a 532 nm continuous-wave laser.21 The results indicate that Ho3+ ion possesses several fluorescence transitions in the ultraviolet and violet region (306, 390 and 428 nm) which are assigned to the transitions of 3D35I8, 5G45I8 and 5G55I8, respectively. Wang et al. reported a high output laser operation at around 2.1 μm of Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho with low scattering loss and excellent optical quality.22 Their results revealed that Ho3+-doped Y2O3 system shows attractive prospect in high-power and efficient laser applications as a laser gain medium. Although numerous investigations have been widely reported on Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho, there is no systematic study to elucidate its microstructure and electronic properties.

In this paper, we perform extensive structure searches to obtain the ground-state structure of Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho based on the CALYPSO (Crystal structure AnaLYsis by Particle Swarm Optimization)23–27 method coupled with the DFT (density functional theory). Furthermore, we calculate and analyze the band structure, density of states and the ELF (electron localized function) to gain deeper insights into the electronic properties of Ho3+-doped Y2O3 system. The outline of this paper is organized as follows. We exhibit a brief description of the calculation method in Section 2. In Section 3, we present our results and discussion. A conclusion is finally given in Section 4.

2. Computational methods

We have explored the structural evolution of Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho crystal by using the unbiased CALYPSO23–27 method. The CALYPSO is a reliable structure prediction method which has been validated by a large variety of crystal structures.28–32 We perform an evolutionary variable-cell structure prediction with 80 atoms per simulation cell at ambient pressure. To determine the most stable structure of Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho system, we optimized the all lowest-lying candidate structures by using the density functional theory in VASP (Vienna Ab Initio Simulation Package) code.33–35 The frozen-core all electron projector-augmented wave (PAW) method has been adopted, with 4f115s25p66s2, 4d15s2 and 2s22p4 treated as valence electrons for Ho, Y and O, respectively. For describing the influence of the correlation effect introduced by 4f electrons of Ho atoms, we employ the local density approximation (LDA) with an onsite Coulomb repulsion parameter U36 to determine the electronic band structure of Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho. The U value of Ho has been determined to be 6.8 eV by Min et al.37 Phonon dispersion curve have been calculated by the PHONOPY code.38

3. Results and discussion

We carefully examine the ground-state crystal structure of Ho3+-doped Y2O3 by using the unbiased CALYPSO structure search method with the stoichiometric ratio of Ho[thin space (1/6-em)]:[thin space (1/6-em)]Y[thin space (1/6-em)]:[thin space (1/6-em)]O = 1[thin space (1/6-em)]:[thin space (1/6-em)]31[thin space (1/6-em)]:[thin space (1/6-em)]48 under ambient conditions. The lowest-energy structure of Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho is successfully identified and displayed in Fig. 1. It can be seen from Fig. 1 that the ground-state Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho crystal possesses the monoclinic configuration with the Ho3+ ion (0.901 Å) substitute for Y3+ ion (0.900 Å) in the Y2O3 host. The concentration of the impurity Ho3+ is equal to 3.125%, which is in excellent agreement with the result measured by Atabaev et al.15 The site symmetry of [HoO6]9− local structure are calculated to be C2 and Ho3+ position are six-coordinated by oxygen atoms. The three different bond lengths between Ho–O bonds are calculated to be 2.214, 2.232, and 2.318 Å, respectively. The Ho3+ doped Y2O3 crystal structure belongs to the standardized P2 symmetry and the calculated lattice constants are a = b = c = 10.524 Å, β = 90°. The coordinates of all atoms for the ground state Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho are summarized in Table 1 for further investigations. Moreover, our structure searches also predict many metastable structures of Ho3+-doped Y2O3 which can play important roles to explore the structural evolutions. The first four optimized low-lying structures (a), (b), (c) and (d) from low to high energy are exhibited in Fig. 2. It is found that the Y3+ ions of these isomers are replaced by Ho3+ ions at different sites in the host crystals. Interestingly, the isomer (a) possesses the same P2 monoclinic configuration with the ground-state structure while the isomers (b), (c) and (d) exhibit the P1 space group. In these metastable structures, we find that the impurity Ho3+ ions tend to occupy the crystal face site positions of the Y3+.
image file: d0ra05188h-f1.tif
Fig. 1 Crystal structure and [HoO6]9− local unit of the ground-state Ho3+-doped Y2O3. The bond lengths are in the unit of Å.
Table 1 Coordinates of all atoms for the ground state Ho3+-doped Y2O3
Atom x y z Wyckoff site symmetry
Ho 0.50000 0.03244 −0.00000 1c
O(1) −0.09805 0.37926 0.39177 2e
O(2) 0.40264 0.87998 0.89255 2e
O(5) 0.40205 0.12070 0.60831 2e
O(6) −0.09818 0.62076 0.10808 2e
O(9) 0.14194 0.15190 0.37921 2e
O(10) 0.64186 0.65190 0.87934 2e
O(11) −0.14176 0.84802 0.87927 2e
O(12) 0.35819 0.34791 0.37925 2e
O(17) 0.12928 0.39175 0.15192 2e
O(18) 0.62931 0.89190 0.65180 2e
O(19) 0.62868 0.10740 0.84899 2e
O(20) 0.12931 0.60822 0.34801 2e
O(25) 0.59794 0.62079 0.60830 2e
O(26) 0.09816 0.12070 0.10813 2e
O(29) 0.09808 0.87932 0.39175 2e
O(30) 0.59805 0.37924 0.89184 2e
O(33) 0.35820 0.84806 0.62099 2e
O(34) −0.14195 0.34792 0.12077 2e
O(35) 0.64100 0.15153 0.12014 2e
O(36) 0.14182 0.65199 0.62075 2e
O(41) 0.37080 0.60848 0.84803 2e
O(42) −0.12934 0.10816 0.34796 2e
O(43) −0.12943 0.89189 0.15191 2e
O(44) 0.37080 0.39172 0.65211 2e
Y(1) 0.00004 0.24998 0.24998 2e
Y(2) 0.49982 0.75036 0.24967 2e
Y(3) 0.50011 0.24976 0.75024 2e
Y(4) 0.00005 0.75003 0.75003 2e
Y(9) −0.25020 0.24979 0.96795 2e
Y(10) −0.25006 0.75002 0.53211 2e
Y(13) 0.71753 0.00010 0.24967 2e
Y(15) −0.21791 0.50004 0.24995 2e
Y(21) −0.25026 0.75030 0.03217 2e
Y(22) 0.25002 0.24997 0.53226 2e
Y(25) −0.21803 0.00001 0.75019 2e
Y(26) 0.28218 0.49999 0.24999 2e
Y(17) 0.00000 0.96781 0.00000 1a
Y(30) 0.00000 0.46784 0.00000 1a
Y(18) 0.50000 0.53219 −0.00000 1c
Y(19) 0.00000 0.03214 0.50000 1b
Y(29) 0.00000 0.53220 0.50000 1b
Y(20) 0.50000 0.46778 0.50000 1d
Y(31) 0.50000 0.96786 0.50000 1d

image file: d0ra05188h-f2.tif
Fig. 2 Coordination structures of the metastable (a–d) for Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho.

To clarify the true structure of the ground-state Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho, as shown in Fig. 3, we calculate the X-ray diffraction (XRD) patterns of the ground state structure. We can clearly see from Fig. 3 that the simulated spectrum of Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho are in good accordance with the observations in experiment.15 In addition, the XRD patterns of the four metastable structures are calculated and the results are also plotted in Fig. 3. It can be seen from Fig. 3 that the overall distribution of the peaks is similar, suggesting that the structural parameters of the four metastable structures are close to each other. To further validate the dynamical stability of Ho3+-doped Y2O3 system, we have calculated the phonon dispersion curves in Fig. 4 and no imaginary phonon frequencies can be seen over the entire Brillouin zones. The result indicates that the determined ground-state structure of Ho3+-doped Y2O3 crystal is dynamically stable. These theoretical results provide great support for the reliability of our structural prediction methodology.

image file: d0ra05188h-f3.tif
Fig. 3 Comparison of the simulated XRD spectrum for the ground-state and metastable (a–d) Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho with experimental patterns.

image file: d0ra05188h-f4.tif
Fig. 4 Calculated phonon dispersion curve for the ground-state Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho.

We have calculated the electronic band structure and the total as well as partial DOS for Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho. As illustrated in Fig. 5(a), the direct band gap value for Ho3+-doped Y2O3 is about 4.27 eV at the Γ point, which is approximately 2/3 of the experimental value (Eg = 6.2 eV) determined by Wallace and Wilk.39 This result can be ascribed to the general underestimation of band gap value by the first-principle calculations. The result indicates that the Ho3+ impurity ion remains the insulating character of Ho3+-doped Y2O3 crystal. From Fig. 5(b), we can clearly see that the low valence band region is mainly composed of p states with the smaller contributors of d states ranging from −1 eV to 0 eV, and the dominant contributions of the high conduction band between 4.3 eV to 9 eV are mainly occupied by p, d and f states. It should be noted that the s states is very weak from −1 eV to 9 eV. In addition, we have calculated the electron localized function (ELF) to visualize the chemical bonding character in Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho crystal. The ELF in crystal structure and the ELF of the (100) plane are presented in Fig. 6. It is shown that the ELF near the Y and Ho atoms value is close to 0.9, which suggests that the electrons are extremely localized around the Y and Ho atoms.

image file: d0ra05188h-f5.tif
Fig. 5 The calculated (a) electronic band structure and (b) total as well as partial densities of states of Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho.

image file: d0ra05188h-f6.tif
Fig. 6 ELF maps of (a) the structure and (b) 〈100〉 plane for the ground-state Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho.

4. Conclusions

In summary, we have explored the ground-state crystal structure of Ho3+-doped Y2O3 by means of the unbiased CALYPSO method combined with first-principle calculations. It is shown that the ground-state Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho structure possesses a novel P2 phase with the monoclinic symmetry. We carry out a systematical investigation to the microstructure evolutions for the ground-state Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho crystal. The results indicate that the impurity Ho3+ ion substitutes the positions of Y3+ ions in the host crystal lattice, forming the [HoO6]9− local structure. We find that the impurity Ho3+ ions tend to occupy the crystal face positions of the Y3+ ions from the structural features of the ground-state and metastable structures. We further calculate the band structure and density of states by LDA + U method for Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho. Our result reveals that the electronic band gap of Ho3+-doped Y2O3 is 4.27 eV. We hope that these findings can provide valuable guidance for future experiment research of Y2O3[thin space (1/6-em)]:[thin space (1/6-em)]Ho.

Conflicts of interest

The authors declare no competing interests.


This work is supported by the National Natural Science Foundation of China (No. 11904297, 11747139 and 11804031) and the Fundamental Research Funds for the Central Universities (SWU118055), the Scientific Research Project of Education Department of Hubei Province (No. Q20191301), the Youth Fund of Yangtze University (No. 2016cqn, Y. Y. J.).


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