Chukyo University Repository for Academic Resources / 中京大学学術情報リポジトリ

齊藤　史郎

1
Complexes of positronium and atoms  
with ns2np1–4 valence shells
Abstract
Multireference configuration interaction calculations for complexes of positronium (Ps) and atoms 
with ns2np1–4 valence shells, PsAl, PsSi, PsP, PsS, PsGa, PsGe, PsAs, and PsSe, are carried out, and 
their positron ionization energies and Ps binding energies are presented. It is revealed that PsSi, PsS, 
PsGe, and PsSe are energetically stable. The electron affinities of Al, Si, P, S, Ga, Ge, As, and Se are 
also calculated, and accuracy of the Ps binding energies is analyzed.
1. INTRODUCTION
A positron forms positronium (Ps), a hydrogen-like atom, with an electron. Theoretical studies 
with quantum mechanical calculations have shown that positronium can form bound states with 
various atoms.1–8 Experiments have confirmed the existence of positronium hydride (PsH)9 and 
positronium halides (PsCl, PsBr, and PsI)10. Theoretical studies of the bound states of positronium 
and atoms have preceded experimental studies. Hereafter the bound state of positronium and atom 
is referred to as the positronium-atom complex.
Quantum mechanical calculations have been performed for various positronium-atom complexes, 
most of which have closed electron shells. Quantum mechanical studies of positronium-atom 
complexes with open electron shells have been carried out only for PsB, PsC, PsN, and PsO.6–8 Those 
theoretical studies have revealed that PsC and PsO are energetically stable. It has been concluded 
that this is due to the large electron affinity of C and O.6,7 Thus, complexes of positronium and atoms 
with the large electron affinity may be energetically stable. 
The present work studied the energetic stability of the complexes of positronium and the second 
row and third row atoms with valence shells ns2np1–4: Al (2P), Si (3P), P (4S), S (3P), Ga (2P), 
Saito Shiro L.
2 CHUKYO UNIVERSITY Faculty of Liberal Arts and Sciences 2024 Vol. 4 No. 2
Ge (3P), As (4S), and Se (3P). To this end, the multireference singly and doubly excited configuration 
interaction (MRSDCI) method was applied to [core]3s23p2–51s+
1 for PsAl (2,3P), PsSi (3,4S), PsP (2,3P), 
and PsS (1,2P), and [core]4s24p2–51s+
1 for PsGa (2,3P), PsGe (3,4S), PsAs (2,3P), and PsSe (1,2P). Here, 
the subscript ‘+’ means a positronic orbital. 
In the present MRSDCI calculation, all orbitals were expanded with B-splines11,12. The B-splines 
of order K {Bi,K} are piecewise polynomials of degree K – 1 on a knot sequence in a cavity of radius 
R. The knot sequence {ti } is a set of points defined on an interval [0, R]. Bi,K is nonzero in the 
interval [ti, ti+K). The advantage of B-splines is that they are very flexible and are relatively free from 
computational linear dependence. Thus, it is possible to apply a common B-spline set to all atoms, 
irrespective of orbital symmetry, without loss of accuracy. We have shown that the atomic Hartree-
Fock-Roothaan method using the B-spline set gives highly accurate energies.13,14 Hence, the B-spline 
set should accurately expand atomic orbitals. 
The many-body and angular correlation effects are known to be very important for the 
positronium-atom complex. Unfortunately, the MRSDCI wave function is very slow to converge with 
respect to incorporating those effects. The MRSDCI method often gives unsatisfactory results owing 
to such slow convergence. It would nevertheless be possible to obtain good results with the help 
of appropriate extrapolation procedures. In the present work, the energy contributions due to the 
many-body and angular correlation effects were estimated using extrapolation techniques.
The Ps binding energy (EB) of positronium-atom complexes (PsA) is calculated by
EB = EPs + EA – EPsA , (1)
where EPs, EA, and EPsA are the total energies of Ps, A, and PsA, respectively. The Ps binding energy 
can also be calculated using the electron affinity (EEA) of A and the positron ionization energy (EPI) 
of PsA as follows:
EB = EPs + EEA + EPI . (2)
From Eq. (2), one can see that accurate electron affinity and positron ionization energy are required, 
to calculate the accurate Ps binding energy. Accuracy of the Ps binding energy can be analyzed 
by accuracy of the electron affinity of A at least. To analyze accuracy of the Ps binding energy, the 
electron affinities of the corresponding neutral atoms were also calculated. 
The next section explains the B-splines used and details of MRSDCI calculations. The third section 
summarizes the Ps binding energies and the positron ionization energies for PsAl, PsSi, PsP, PsS, 
PsGa, PsGe, PsAs, and PsSe. Accuracy of the Ps binding energies is also analyzed by calculating the 
Complexes of positronium and atoms with ns2np1–4 valence shells 3
electron affinities of the corresponding neutral atoms.
2. COMPUTATIONAL ASPECT
The present basis set consists of N Kth-order B-splines on a knot sequence defined on an interval 
[0, R], where R is in bohr. A knot sequence was used with endpoints of K-fold multiplicity:
0, R1, R1 (1 + β), R1 (1 + β  + β
2), ∙∙∙, R, (3)
where R1 is the initial interval and β  is the parameter characterizing the distribution of the knots. 
Here β  is decided to satisfy the following condition:
R = R1 (1 + β  + β
2 + ∙∙∙ + βN–K+2),  (β≥1). (4)
Since the first and last terms of the B-splines with K-fold multiplicity are nonzero at r = 0 and 
r = R, respectively, the N-term B-spline set was constructed omitting them. The parameters N = 40, 
R = 40, and K = 9 were adopted. β  was optimized by Hartree-Fock (HF) calculations for each system 
individually. 
Our MRSDCI calculations used the natural orbitals (NOs) with angular momentum λ  up to 8 (i.e. 
l-symmetry). The NOs were generated by a series of MRSDCI calculations with reference spaces 
consisting of principal configurations of a configuration interaction wave function (a ‘minimal 
reference space’). In the first step of NO generation, MRSDCI calculations were carried out with 
the HF orbitals and obtain spdf-NOs for PsAl, PsSi, PsGa, PsGe, and PsAs. For PsP, PsS, and PsSe, 
spd-NOs were obtained. Subsequently, the NOs with higher λ  were generated, step by step. Those 
NOs whose occupation number was less than 10–6 were truncated at each step. For the neutral atoms 
and their negative ions, spd-NOs were constructed, and the NOs with higher λ  was sequentially 
obtained in the same way.
Since the convergence of the MRSDCI function is very slow, the full configuration interaction (FCI) 
energy limits and the contributions to the total energies from higher angular momentum orbitals 
(the higher λ  effect) were estimated using extrapolation techniques. To this end, a further series of 
MRSDCI calculations was carried out using obtained NOs for each system, increasing the reference 
configurations which were selected for the largest weight in the previous MRSDCI wave function. 
Those calculations were continued as long as the storage allowed. The final MRSDCI calculation is 
denoted as ‘MRSDCI(max)’.
The HF calculations with the B-spline set were carried out using our atomic self-consistent field 
4 CHUKYO UNIVERSITY Faculty of Liberal Arts and Sciences 2024 Vol. 4 No. 2
program code based on the algorithm of Roothaan and Bagus.13–15 All MRSDCI calculations were 
performed by the program ATOMCI16,17 modified for atomic systems containing positrons.
3. RESULTS AND DISCUSSION
Table 1 summarizes the results of the MRSDCI calculations with the minimal reference space for 
PsA, A, and A−. The weights of the reference space (wref) of MRSDCI wave functions for PsA are 
smaller than those for A and A−, even though the dimension of the MRSDCI wave function (NCI) for 
PsA is very large. This indicates that the MRSDCI wave functions of PsA converge very slowly. The 
loses of the MRSDCI energies due to the NO truncation (ε) are slightly larger for PsA than for A and 
A−. Assuming additivity of energy, ε  was added to the MRSDCI energies.
The FCI wave function is the MRSDCI wave function with wref = 1. The FCI energy limits were 
estimated by extrapolating MRSDCI energy (ECI) to wref = 1. To this end, the convergence pattern 
of ECI, ECI+Q, and EAV was analyzed with respect to wref. ECI+Q is ECI plus the Davidson correction
18. 
EAV is the average of ECI and ECI+Q. Although EAV has no physical meaning, it is useful for this 
extrapolation. Fig. 1 and 2 show the convergence pattern of ECI, ECI+Q, and EAV for PsA against 
wref. One can see from Fig. 1 and 2 that the total energy of PsA converges very slowly. Thus, this 
extrapolation is very difficult, and ambiguity of extrapolated total energies may be large. The FCI 
Table 1  Results of MRSDCI with minimal reference spaces. NCI, wref, ECI, and ε respectively denote the 
dimension of the MRSDCI wave function, weight of reference space, total energy (in hartree), and 
loss of total energies due to the NO truncation procedure (in µhartree)
NCI wref ECI ε NCI wref ECI ε
PsAl 119,513 0.801 –242.148803 –166 PsGa 144,611 0.822 –1923.527017 –154
Al– 4,991 0.957 –241.951593 –63 Ga– 5,226 0.960 –1923.327837 –57
Al 811 0.981 –241.935106 –35 Ga 736 0.983 –1923.314301 –59
PsSi 51,680 0.873 –289.181338 –201 PsGe 53,640 0.874 –2075.673202 –162
Si– 3,895 0.965 –288.991751 –83 Ge– 3,735 0.969 –2075.485069 –73
Si 2,550 0.975 –288.939895 –85 Ge 2,347 0.978 –2075.434215 –78
PsP 237,172 0.839 –341.048683 –255 PsAs 254,191 0.834 –2234.551852 –194
P– 44,664 0.955 –340.857045 –136 As– 28,903 0.942 –2234.359426 –101
P 2,175 0.978 –340.831385 –140 As 2,002 0.980 –2234.334451 –111
PsS 323,340 0.899 –397.938166 –317 PsSe 324,536 0.895 –2400.272581 –250
S– 70,555 0.956 –397.748323 –174 Se– 70,392 0.956 –2400.086923 –117
S 23,205 0.968 –397.672855 –195 Se 20,934 0.968 –2400.011343 –121
Complexes of positronium and atoms with ns2np1–4 valence shells 5
energy limits are listed in Table 2.
The higher λ  effect for the total energies was estimated by extrapolating the energy contributions 
due to the respective λ-NOs to λ→∞. To treat with the same accuracy, we extrapolated the total 
energies to λ→∞ using MRSDCI energies with the almost same wref. Fig. 3 and 4 show the energy 
contributions from the respective λ-NOs (ΔEλ), on a log-log scale. The energy contribution converges 
linearly. Hence, the energy contribution was fitted by the following relation with two parameters α  
and β :
–ΔEλ = αλ
–β. (5)
The energy contribution from the NOs having λ  greater than 8 (Eλ>8) was estimated as 
Fig. 1  Convergence of CI energies for PsAl, PsSi, PsP, and PsS with respect to the weight of the 
reference space
6 CHUKYO UNIVERSITY Faculty of Liberal Arts and Sciences 2024 Vol. 4 No. 2
Fig. 2  Convergence of CI energies for PsGa, PsGe, PsAs, and PsSe with respect to the weight of the 
reference space
Eλ>8=   Δ Eλ. (6)
We finally obtained the FCI energy limits including the higher λ  effect. Table 3 summarizes the 
energy contribution due to the higher λ  effect (Eλ>8) for PsA, A, and A
−. Eλ>8 for PsA are all 
considerably larger than for A and A−. The energy of PsA converges slowly with respect to λ , 
indicating that the higher λ  orbitals are needed to calculate PsA wave functions.
Table 4 summarizes the Ps binding energies (EB) and the positron ionization energies of PsA (EPI). 
All the Ps binding energies obtained from HF calculations are negative. The Ps binding energies 
obtained from the estimated FCI energies incorporating the higher λ  effect are improved and are 
∞
�
λ  = 9
Complexes of positronium and atoms with ns2np1–4 valence shells 7
Table 2  Total energies (ECI) and weights of reference space (wref) of MRSDCI(max) and full CI  energy 
limits (EFCI) for total energies (in hartree)
MRSDCI (max) MRSDCI (max)
wref ECI EFCI wref ECI EFCI
PsAl 0.931 –242.157085 –242.15868 PsGa 0.920 –1923.533514 –1923.53574
Al– 0.992 –241.951978 –241.95201 Ga– 0.993 –1923.328194 –1923.32821
Al 0.997 –241.935185 –241.93519 Ga 0.993 –1923.314384 –1923.31438
PsSi 0.948 –289.189325 –289.19122 PsGe 0.950 –2075.680705 –2075.68233
Si– 0.994 –288.992688 –288.99273 Ge– 0.995 –2075.485836 –2075.48586
Si 0.996 –288.940313 –288.94031 Ge 0.994 –2075.434556 –2075.43457
PsP 0.931 –341.062672 –341.06730 PsAs 0.927 –2234.564531 –2234.56831
P– 0.990 –340.859247 –340.85938 As– 0.988 –2234.363575 –2234.36375
P 0.989 –340.832095 –340.83217 As 0.988 –2234.334973 –2234.33508
PsS 0.954 –397.951463 –397.95387 PsSe 0.952 –2400.285299 –2400.28789
S– 0.988 –397.751117 –397.75138 Se– 0.989 –2400.089541 –2400.08973
S 0.993 –397.675166 –397.67525 Se 0.993 –2400.013261 –2400.01343
positive values except for PsAl, PsP, PsGa, and PsAs. The present work resulted that PsAl, PsP, PsGa, 
and PsAs are energetically unstable. Our previous work showed that PsB and PsN are unstable. 
Therefore, we conclude that the complexes of positronium and the group 13 and 15 atoms are 
unstable. Cheng et al. have estimated the Ps binding energies of various positronium-atom complexes 
using some atomic data.19 Our Ps binding energies are in good agreement with their results except 
for PsP and PsAs. They have reported that PsP and PsAs are energetically stable, in contrast to our 
results. 
Table 5 summarizes the electron affinities of Al Si, P, S, Ga, Ge, As, and Se. The electron affinities 
obtained from the estimated FCI energies are largely improved. On the contrary, the higher λ  effect 
has a small effect on the electron affinities. Comparing the experimental data20 with the present 
results, the errors are large except for P and S, ranging from 0.034 eV to 0.163 eV. One possible 
reason is that only the valence electrons were treated. To improve the values, it may be necessary to 
incorporate core-electron effects. The largest error is for Ge, which is overestimated by 0.163 eV; a 
correct positron ionization energy of PsGe would result in a smaller Ps binding energy of PsGe. 
In the present work, energetical stability of positronium-atom complexes with open electron shells, 
PsAl, PsSi, PsP, PsS, PsGa, PsGe PsAs, and PsSe, were investigated using the MRSDCI method. The 
MRSDCI wave functions of the complexes are very large because of the open shells. Hence, it is very 
8 CHUKYO UNIVERSITY Faculty of Liberal Arts and Sciences 2024 Vol. 4 No. 2
Table 3 Energy contributions (Eλ>8) due to higher λ effect (in hartree)
Eλ>8 EFCI+Eλ>8 Eλ>8 EFCI+Eλ>8
PsAl –0.015671 –242.17435 PsGa –0.024341 –1923.56008
Al– –0.000017 –241.95203 Ga– –0.000021 –1923.32823
Al –0.000012 –241.93520 Ga –0.000020 –1923.31440
PsSi –0.007852 –289.19907 PsGe –0.009063 –2075.69139
Si– –0.000050 –288.99278 Ge– –0.000062 –2075.48592
Si –0.000033 –288.94035 Ge –0.000041 –2075.43461
PsP –0.006741 –341.07404 PsAs –0.009354 –2234.57766
P– –0.000150 –340.85953 As– –0.000164 –2234.36391
P –0.000080 –340.83225 As –0.000091 –2234.33517
PsS –0.003294 –397.95716 PsSe –0.004089 –2400.29198
S– –0.000365 –397.75175 Se– –0.000390 –2400.09012
S –0.000235 –397.67549 Se –0.000271 –2400.01362
Fig. 3 Contributions to the total energies of PsAl, PsSi, PsP, and PsS from the respective λ orbitals
Complexes of positronium and atoms with ns2np1–4 valence shells 9
Fig. 4 Contributions to the total energies of PsGa, PsGe, PsAs, and PsSe from the respective λ orbitals
Table 4  Ps binding energies (EB) and positron ionization potentials (EPI) for positronium-atom complexes 
(in eV)
PsAl PsSi PsP PsS
EB EPI EB EPI EB EPI EB EPI
HF –3.829 2.931 –2.566 3.276 –3.878 3.467 –2.210 3.680
MRSDCI –0.696 5.622  0.112 5.421 –0.325 5.677  0.878 5.528
FCI limit –0.721 5.624  0.025 5.401 –0.405 5.658  0.779 5.510
FCI limit + higher λ –0.176 6.169  0.237 5.613 –0.223 5.837  0.862 5.590
Estimation a –0.18  0.30  0.13  0.85
PsGa PsGe PsAs PsSe
EB EPI EB EPI EB EPI EB EPI
HF –3.873 2.947 –2.632 3.219 –3.898 3.333 –2.316 3.477
MRSDCI –0.790 5.715 –0.003 5.361 –0.406 5.631  0.729 5.398
FCI limit –0.779 5.647 –0.061 5.346 –0.456 5.566  0.668 5.392
FCI limit + higher λ –0.118 6.309  0.190 5.591 –0.204 5.816  0.772 5.493
Estimation a –0.18  0.20  0.11  0.73
a Cheng et al. (Ref.19)
10 CHUKYO UNIVERSITY Faculty of Liberal Arts and Sciences 2024 Vol. 4 No. 2
difficult to obtain MRSDCI wave functions with sufficiently large wref. Highly accurate results for 
the complexes with open shells will not be available unless a breakthrough computational method is 
developed.
REFERENCES
1 D.M. Schrader and Y.C. Jean (ed), Positron and positronium chemistry (Elsevier, Amsterdam, 1988).
2 J. Mitroy, M.W.J. Bromley, and G.G. Ryzhikh, J. Phys. B 35, R81 (2002), and references therein. 
3 D.M. Schrader, T. Yoshida, and K. Iguchi, J. Chem. Phys. 98, 7185 (1993).
4 S.L. Saito, J. Chem. Phys. 118, 1714 (2003).
5 S.L. Saito, J. Chem. Phys. 122, 054302 (2005).
6 S.L. Saito, Theor. Chem. Acc. 115, 281 (2005).
7 D. Bressanini, M. Mella, and G. Morosi, J. Chem. Phys. 108, 4756 (1998).
8 N. Jiang and D.M. Schrader, Phys. Rev. Lett. 18, 5113 (1998).
9 D.M. Schrader, F.M. Jacobsen, N.-P. Frandsen, and U. Mikkelsen, Phys. Rev. Lett. 69, 57 (1992).
10 O.E Mogensen, Positron annihilation in chemistry (Springer, Berlin, Heidelberg, New York 1995).
11 C. de Boor, A practical guide to splines (Springer, Berlin, Heidelberg, New York, 2001).
12 J. Sapirstein and W.R. Johnson, J. Phys, B 29, 5213 (1996).
13 S.L. Saito, Theor. Chem. Acc. 109, 326 (2003).
14 S.L. Saito, At. Data Nucl. Data Tables, 95, 836 (2009).
15 C.C.J. Roothaan and P.S. Bagus, Meth. Comput. Phys. 2, 47 (1963).
16 F. Sasaki, Int. Quantum Chem. 8, 605 (1974).
17  F. Sasaki, M. Sekiya, T. Noro, K. Ohtsuki, and Y. Osanai, In: E. Clementi (ed) Modern techniques in 
computational chemistry, p.181 (MOTECC. ESCOM, Leiden, 1990).
18 S.R. Langhoff and E.R. Davidson, Int. J. Quantum Chem. 8, 61 (1974).
19 X. Cheng, D. Babikov, and D. Schrader, Phys. Rev. A 85, 012503 (2012).
20 T. Andersen, H.K. Haugen, and H. Hotop, J. Phys. Chem. Ref. Data 28, 1511 (1999).
Table 5 Electron affinities of atoms (in eV)
Al Si P S Ga Ge As Se
HF 0.042 0.961 –0.542 0.913 –0.017 0.953 –0.428 1.010
MRSDCI (max) 0.485 1.495  0.800 2.153  0.298 1.439  0.766 2.134
FCI limit 0.458 1.426  0.740 2.072  0.376 1.396  0.780 2.078
FCI limit + higher λ 0.458 1.427  0.742 2.075  0.376 1.396  0.782 2.082
Experiment a 0.433 1.390  0.747 2.077 0.41 1.233  0.814 2.021
a Andersen et al. (Ref.20)


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Complexes of positronium and atoms with ns²np¹-⁴ valence shells

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Legal Research Institute, Chukyo University
The Current Issues surrounding the Japan Sports Arbitration  
Agency (JSAA): The Discussion Based on a Questionnaire  
Survey of Lawyers who had Experiences of the Representative  
before the Arbitral Tribunal at JSAA - Norihide ISHIDO
The Right to Fulfill Life and the Right to Conclude Life - Ayumi OGATA
On Study of Liability of Transferee Using Transferor’s  
Trade Name - Keiichi NIISATO
What should we understand about the late Mr. Johnny Kitagawa’s  
sexual violence against both minor workers and trainees  
from the view point of the national plan of business  
and human rights in Japan? - Yukako YANAGIMOTO
— Material — Cases which Concerned with Exclusion  
of Automobile Policy - Takahiro DOKI
Case Study Research, The Meaning of Daily Life in  
Daily Life Liability Insurance - Takahiro DOKI
A Case Study on the Cancellation on Material Grounds  
and the Exemption of Insurer from Liability:  
Hiroshima High Court, Judgement, March 12, 2021 - Yuko NOGUCHI
A Case Study on Loss Deliberately Caused by a Person  
who is Defacto Owner of the Building is the Same  
as Loss Deliberately Caused by the Insured:  
Tokyo High Ct. (Feb. 27, 2020) - Takuhiro YAMADA
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Legal Research Institute, Chukyo University
C O N T E N T S
CHUKYO LAWYER
中京ロイヤー
池野千白法務研究所長ご退職記念祝賀号 
中京大学　法務研究所
Vol.40 March 2024
定年退職のご挨拶… ……………………………… 池野　千白	（１）
スポーツ仲裁機構（JSAA）の利用をめぐる現状と課題： 
代理人アンケート調査結果を中心として…………………… 石堂　典秀	（３）
生を全うする権利と終わらせる権利 
― 京都 ALS 嘱託殺人事件を端緒として… ……………… 緒方あゆみ	（25）
商号続用責任規制の立法趣旨に関する考察… ……………… 新里　慶一	（47）
故ジャニー氏性加害事件と「ビジネスと人権」… …………… 柳本祐加子	（75）
―資料―　他車運転特約・無承諾運転免責条項にかかる 
裁判例の整理……………………………………… 圡岐　孝宏	（87）
【判例研究】
日常事故賠償責任補償特約における「日常生活に起因する」事故の意義
―東京高判令和4年2月15日ウエスト・ロー・ジャパン【2022WLJPCA02156010】―… 圡岐　孝宏	（99）
【判例研究】
保険契約における重大事由解除の有効性と故意免責の可否
―広島高判令和3年3月12日金判1618号21頁―… ……………… 野口　夕子	（119）
【判例研究】
建物の実質的所有者等である者の故意による保険事故の招致は 
被保険者の故意による保険事故の招致と同視し得るとして 
保険者の免責が認められた事例に関する考察
―東京高判令和2年2月27日金融・商事判例1594号8頁―… ………… 山田　拓広	（133）
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Legal Research In
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2023 年度文化科学研究所　研究活動
行　事 開催日 テーマ／発表者 主　催 会　場
第 1 回研究例会
9 月 2 日
～ 9 月 3 日
四庫提要詞籍訳注検討会 中国文化 文化科学研究所
第 2 回研究例会 9 月 22 日
「属格表現の本質的理解と指導について」
 発表者：中川直志
「英語における時制表現の見直しについて」
 発表者：松元洋介
「AI と英語教育の関係をどう捉えるか：学習
方法多様化の波」 発表者：吉川寛
「教室内インタラクションと学習者の情意
面―英語とスペイン語におけるモチベー
ションの比較から―」 発表者：横山友里
英語学と英語教育
16 号館
（アネックス）
1643A 教室
第 3 回研究例会 10 月 5 日 2024 年度（令和 6 年度）活動計画について
近現代
ヨーロッパ文学
メール会議
第 4 回研究例会 11 月 9 日 石垣島・竹富島・宮古島調査報告会 博物館
博物館実習室
（豊田キャンパス
16 号館 1 階）
第 5 回研究例会 11 月 28 日 古名硯と墨色の試み 書道
C スクエア
名古屋キャンパス
センタービル 2F
第 6 回研究例会 3 月 20 日
「白河・鳥羽院政期における藤原北家御堂流
と勧修寺流」 発表者：西村健太郎
日本文化
附置研究所
会議室
第 7 回研究例会 3 月 23 日
特別研究会
「中京大学での研究教育生活を振り返って」
言語研究
センタービル
（0 号館）8 階
0806 号室
講演会（共催） 3 月 16 日
挙母藩から豊田市へ受け継がれた書物
　～図書館貴重書庫の和装本をめぐって～
 講演者：明木茂夫
豊田市中央図書館
豊田市中央図書館
6F 多目的ホール
アートクリティック 年 11 回 演劇・文芸サロン 文化科学研究所 対面／オンライン
出　　　版
紀要：文化科学研究 2023　Vol.35 文化科学研究所
発行叢書： 『中京大学所蔵古文書・古典籍の研究―近年新収蔵貴重資料とその周辺』


2023年度文化科学研究所研究活動

張　勤

The Connection between Tests and the C E F R in the Language Proficiency Tests: A Case Study of the Designated Essays of the Test of Chinese Proficiency in Japan

酒井　敏

大正八年一二月二四日付森外宛賀古鶴所書簡を読む　―賀古病院の火事と柳田國男の退官―

編 集 委 員
小川 和也 平塚 雄亮
執 筆 者 紹 介
福 井 佳 夫 (中京大学名誉教授)
小木曽 千代子 (元非常勤講師)
馬 部 隆 弘 (歴史文化学科教授)
 竹 由 明 (日本文学科教授)
中京大学文学部紀要 第59巻 第 1号通巻第 153 号
発行日 令和 6年 11 月 25 日 (2024 年度)
発 行 所 中 京 大 学 文 学 部
〒4668666 名古屋市昭和区八事本町 1012
発行責任者 柳 沢 昌 紀
印 刷 所 株式会社   
〒 4660025 名古屋市昭和区下構町 222


奥付　59-1

Vol. 59 No. 1 2 0 2 4
C O N T E N T S
"A Critical Biography of Cao-Zhi Vol.3"
Yoshio Fukui ( 1 )
Teikin-no-sho owned by Toyo bunko (The Oriental Library)
－Reprinting (4)－
Chiyoko Ogiso ( 51 )
Relationship between various branches of the Tsubai family,
and location of family documents
Takahiro Babe (127)
Discourse on Crossing the sea to Busan during
the Bunroku War in the Tsushima Domain
Yoshiaki Tokutake (153)
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