INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN APPLIED SCIENCE (IJRIAS)
ISSN No. 2454-6194 | DOI: 10.51584/IJRIAS |Volume X Issue IX September 2025
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Page 988
New Boron Deposition Model Based on Thin Oxide Film in Process of
High Frequency Transistor
NamChol Yu
1
*, IlRyong Bong
2
, ChenNam Kim
3
, SongChol Yang
4
1
Kim Chaek University of Technology, Pyongyang, Democratic People’s Republic of Korea
2
Sariwon College of Technology, North HuangHae, Democratic People’s Republic of Korea
3
University of Science, Pyongyang, Democratic People’s Republic of Korea
4
Pyongsong University of Education, South Pyongan, Democratic People’s Republic of Korea
*Corresponding Author
DOI: https://dx.doi.org/10.51584/IJRIAS.2025.100900097
Received: 16 August 2025; Accepted: 23 August 2025; Published: 25 October 2025
ABSTRACT
This paper reports new deposition model of boron impurity considered formation of oxide film during
deposition process. Finally, we have considered the impurity concentration change in silicon surface and found
that diffusion coefficient in the thin oxide film increases more 100 times than the thick oxide film. The result
contributes to get the accurate simulation value. This new boron deposition model will apply to find the
formation condition of base layer in fabrication process of high-frequency transistor.
Keyword: Boron impurity; Deposition model; Concentration distribution; Diffusion coefficient.
INTRODUCTION
It is able to simulate the deposition process through oxide film by SILVACO TCAD (semiconductor process
simulation tools), but the simulation results did not give the accurate values.
The impurity deposition is progressing after formation of the thin oxide film [1-3].
Recently, many research results about the boron deposition process reports [4-18], but the simulation results
about sheet resistance, junction depth and impurity quantity as control factor of the fabrication process of
semiconductor device have not correctly calculated in deposition process simulation of boron impurity.
Therefore, we proposed the deposition model of boron impurity and the diffusion factors of oxide film using to
calculate have changed for the accurate simulation.
New Model
At silicon surface, always exists the natural oxide film or oxide film formed during boron deposition process,
and boron impurity diffuses through the oxide film into silicon
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN APPLIED SCIENCE (IJRIAS)
ISSN No. 2454-6194 | DOI: 10.51584/IJRIAS |Volume X Issue IX September 2025
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Page 989
Fig.1 Impurity flow in deposition process of boron impurity
In silicon surface, boron impurity concentration is not fixed, it increase gradually and oxide film thickness is
increased. Therefore, we have shown intuitionally the impurity concentration in atmosphere, oxide film and
silicon as Fig.1. Where N
atm
is impurity concentration in atmosphere, N
SiO2
is impurity concentration in oxide
film, N
si
is impurity concentration in silicon. The corresponding mathematical model can write as follows. If
thickness is very thin, impurity diffusion in oxide film can approximate linearly as follows;
2
2
2
SiO
SiO
SiOINCp
d
N
DkJ
(1)
Where k
INC
- increase coefficient of diffusion coefficient in oxide film
D
SiO2
-diffusion coefficient in oxide film
N
SiO2
-impurity concentration in oxide film surface
d
SiO2
- oxide film thickness
We suppose that the impurity flow diffused through the Si-SiO
2
interface is equal with impurity flow in oxide
film.
Then, at the Si-SiO
2
interface, the impurity concentration relationship in oxide film and silicon determined by
segregation coefficient as follows equation (2).
0,0,
2
txNmN
SiSiO
(2)
Here m is function of temperature as a segregation coefficient.
Here, we used the condition that the ratio of impurity concentration in oxide film and silicon is constant under
defined temperature. In silicon bulk, the peak’s diffusion law is applied.
X
X
ND
Xt
N
sisiSi
),
)(
(
(3)
Here N
Si
- boron impurity concentration in silicon
D
Si
- diffusion coefficient of the boron impurity changing due to concentration in silicon
t - deposition time
Ω- internal region of silicon
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN APPLIED SCIENCE (IJRIAS)
ISSN No. 2454-6194 | DOI: 10.51584/IJRIAS |Volume X Issue IX September 2025
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Page 990
Then, if the impurity concentration at relatively far region from the silicon-oxide film interface is not change
with distance, it can write as follows equation (4)
X
X
N
si
,0
(4)
Starting condition (impurity concentration before the deposition) is as follows
(5)
Finally, we can find out the concentration distribution of boron impurity in silicon by these equations (1)-(5).
We have used that vacancy diffusion mechanism is fundamental in boron diffusion. The boron diffusion
coefficient in silicon and oxide film did used from literature [2, 5].
Simulation results by SILVACO TCAD
The impurity concentration of the starting wafer is 4×10
12
cm
-3
, major facets is {111} plane and substrate is n-
type silicon. As shown in Fig.2, since surface impurity concentration is about 10
14
cm
-3
, junction depth is
0.077μm and sheet resistance is 1.3×10
9
Ω/, the difference between simulation result and actually
measurement value is very large. Because diffusion coefficient used in simulating is incorrect.
Fig.2 Deposition simulation (concentration distribution) result by SILVACO TCAD(950℃)
The diffusion coefficient in oxide film explained as follows:
)/exp(
0
KTEDD
(6)
Where D is diffusion coefficient(cm
2
/s), D
0
is 7.23×10
-6
as the coefficient of exponent term, E is 3.5eV as the
activation-energy. The difference between simulation result of boron deposition process with default value and
the actually measurement values is very large. So we have assumed that k
inc
is 100, impurity concentration is
3×10
21
cm
-3
in gas phase-SiO
2
interface. The simulation result at 950℃ shows in Fig.3.
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN APPLIED SCIENCE (IJRIAS)
ISSN No. 2454-6194 | DOI: 10.51584/IJRIAS |Volume X Issue IX September 2025
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Page 991
Fig.3 Impurity concentration distribution of boron deposition by simulation
Fig.4 Calculation result of the impurity mass after boron deposition
The impurity mass was obtained by integral of concentration graph, as shown in Fig.4. The simulation result
about deposition process at difference temperature gives in table 1.
Table 1 The calculation result of sheet resistance and the impurity mass due to deposition temperature
Deposition temperature
(℃)
Sheet resistance
(Ω/□)
Impurity
mass(cm
-2
)
Activity impurity mass
(cm
-2
)
Junction
depth (μm)
850
317.45
1.22×10
15
3.89×10
14
0.15
900
113.56
2.63×10
15
1.05×10
15
0.27
950
43.88
6.21×10
15
2.66×10
15
0.49
970
30.50
8.77×10
15
3.82×10
15
0.62
975
27.93
9.65×10
15
4.17×10
15
0.66
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN APPLIED SCIENCE (IJRIAS)
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Page 992
980
25.54
1.10×10
16
5.09×10
15
0.70
990
21.42
1.25×10
16
5.42×10
15
0.78
1 000
18.06
1.48×10
16
6.42×10
15
0.88
1 020
12.86
2.23×10
16
1.04×10
16
1.10
1 030
10.89
2.472×10
16
1.06×10
16
1.23
1 050
7.89
3.55×10
16
1.59×10
16
1.53
1 060
6.72
4.04×10
16
1.71×10
16
1.71
1 070
5.75
4.70×10
16
1.99×10
16
1.91
Experimental verification of boron deposition process
We compared the exactly experiment results and the simulation at the difference temperature for accuracy of
simulation results. Comparison item is sheet resistance and junction depth. Finally, measurement result was a
very approximation to the simulation result.
Table 2 Experimental verification result of sheet resistance and junction depth due to the deposition
temperature
Deposition
temperature()
Simulation result
Measurement result
Sheet
resistance(Ω/□)
Junction depthm)
Sheet
resistance(Ω/□)
Junction depthm)
850
317.45
0.15
329
0.11
900
113.56
0.27
110
0.3
950
43.88
0.49
45.3
0.45
970
30.50
0.62
32
0.59
975
27.93
0.66
27.1
0,64
980
25.54
0.70
23.5
0.69
1 000
18.06
0.88
18.9
0.91
1 050
7.89
1.53
7.76
1.46
1 070
5.75
1.91
5.70
1.89
CONCLUSION
Firstly, the new boron deposition model considered on oxide film is proper within deposition temperature
range and it gives more right simulation result about sheet resistance and junction depth. Secondly, in
deposition process simulation of boron impurity, when the impurity concentration is 3×10
21
cm
-3
and k
INC
is
100, simulation result is equal with measurement result. Therefore, it shows that diffusion coefficient in the
thin oxide film increases more 100 times than in the thick oxide film. This new boron deposition model will
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN APPLIED SCIENCE (IJRIAS)
ISSN No. 2454-6194 | DOI: 10.51584/IJRIAS |Volume X Issue IX September 2025
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Page 993
apply to find the formation condition of base layer in fabrication process of high-frequency transistor.
REFERENCES
1. Richard B. Fair, Unified Model of Boron Diffusion in thin Gate Oxide: Effects of F, H
2
, N, Oxide film
and Injected Si Interstitials, IEEE IEDM’ 95 (85-88), 1995. https://doi.org/10.1109/IEDM.1995.497188
2. Shiro Horiuchi and Jiro Yamaguchi, Diffusion of Boron in Silicon through oxide layer, Journal of
APPLIED PHYSICS, vol.1, No.6, 50-67, 1966
3. M.Ghembaza, et al, Effects of Thickness and Chemical Quality of SiO
2
barrier on POCl
3
Diffusion
during the formation of Emitter. Energy Procedia , Vol 18, 2012, 733-740,
https://doi.org/10.1016/j.egypro.2012.05.089
4. Roland Yingjie Tay, Hongling Li, Hong Wang, et.al, Advanced nano boron nitride architectures:
Synthesis, properties and emerging applications, Nano Today, Vol. 53, 2023, 102011,
https://doi.org/10.1016/j.nantod.2023.102011.
5. E. Brezza, F. Deprat, C. de Buttet, A. Gauthier, et.al, Optimized emitter-base interface cleaning for
advanced Heterojunction Bipolar Transistors, Solid-State Electronics, Vol. 204, 2023, 108654,
https://doi.org/10.1016/j.sse.2023.108654.
6. Grazia Lo Sciuto, Salvatore Coco, Rafi Shikler, Antonello Tamburrino, Pentacene organic thin-film
transistor based on Archimedean interdigitated spiral pattern, Microelectronic Engineering, Vol. 247,
2021, 111590, https://doi.org/10.1016/j.mee.2021.111590.
7. João P. Braga, Cleber A. Amorim, Guilherme R. De Lima, Giovani Gozzi, Lucas Fugikawa-Santos,
The role of intrinsic trap states in the semiconductor/insulating interface on the electrical performance
of spray-coated thin-film transistors, Materials Science in Semiconductor Processing, Vol. 151, 2022,
106984, https://doi.org/10.1016/j.mssp.2022.106984.
8. Ashok Srivastava, Md S. Fahad, Vertical MoS
2
/hBN/MoS
2
interlayer tunneling field effect transistor,
Solid-State Electronics, Vol. 126, 2016, 96-103, https://doi.org/10.1016/j.sse.2016.09.008.
9. Sai Wang, Guojun Huang, Han Luo, Wei Li, Mengzhen Zhu, Xia Chen, Chaowei Mi, Improving the
composition and multifunctional properties of amorphous boron nitride films prepared by post-
annealing assisted femtosecond pulsed laser deposition method, Ceramics International, Vol. 49, 2023,
29887-29896, https://doi.org/10.1016/j.ceramint.2023.06.246.
10. Aasif Mohammad Bhat, Ritu Poonia, Arathy Varghese, Nawaz Shafi, C. Periasamy, AlGaN/GaN high
electron mobility transistor for various sensing applications: A review, Micro and Nanostructures, Vol.
176, 2023, 207528, https://doi.org/10.1016/j.micrna.2023.207528.
11. Joseph Casamento, John Hayden, Susan Trolier-McKinstry, et. al, Chapter Five - Toward new
ferroelectric nitride materials and devices: Aluminum boron nitride and aluminum scandium nitride
ferroelectric high electron mobility transistors (FerroHEMTs), Editor(s): John Heron, Zetian Mi,
Semiconductors and Semimetals, Elsevier, Vol. 114, 2023, 119-136,
https://doi.org/10.1016/bs.semsem.2023.09.016.
12. Michał Rycewicz, Adrian Nosek, Dong Hoon Shin, et. al, The effect of boron concentration on the
electrical, morphological and optical properties of boron-doped nanocrystalline diamond sheets: Tuning
the diamond-on-graphene vertical junction, Diamond and Related Materials, Vol. 128, 2022, 109225,
https://doi.org/10.1016/j.diamond.2022.109225.
13. Yajuan Zhao, Zhaohui Zhang, Jianfeng Huang, et. al, Salt-promoted growth of monolayer tungsten
disulfide on hexagonal boron nitride using all chemical vapor deposition approach, Applied Surface
Science, Vol. 605, 2022, 154812, https://doi.org/10.1016/j.apsusc.2022.154812.
14. Gaokai Wang, Jingren Chen, Junhua Meng, Zhigang Yin, Ji Jiang, Yan Tian, Jingzhen Li, Jinliang Wu,
Peng Jin, Xingwang Zhang, Direct growth of hexagonal boron nitride films on dielectric sapphire
substrates by pulsed laser deposition for optoelectronic applications, Fundamental Research, Vol, 1,
2021, 677-683, https://doi.org/10.1016/j.fmre.2021.09.014.
15. Tiago Davi Curi Busarello, Marcelo Godoy Simões, José Antenor Pomilio, Chapter 2 - Semiconductor
Diodes and Transistors, Editor(s): Muhammad H. Rashid, Power Electronics Handbook (Fifth Edition),
Butterworth-Heinemann, 2024, Pages 17-52, https://doi.org/10.1016/B978-0-323-99216-9.00027-5.
16. Xiaoyue Wang, Chi Liu, Yuning Wei, Shun Feng, Dongming Sun, Huiming Cheng, Three-dimensional
transistors and integration based on low-dimensional materials for the post-Moore’s law era, Materials
INTERNATIONAL JOURNAL OF RESEARCH AND INNOVATION IN APPLIED SCIENCE (IJRIAS)
ISSN No. 2454-6194 | DOI: 10.51584/IJRIAS |Volume X Issue IX September 2025
www.rsisinternational.org
Page 994
Today, Vol. 63, 2023, 170-187, https://doi.org/10.1016/j.mattod.2022.11.023.
17. Antonio J. Olivares, A. Zamchiy, V.S. Nguyen, P. Roca i Cabarrocas, Boron activation in silicon thin
films grown by PECVD under epitaxial and microcrystalline conditions, Applied Surface Science
Advances, Vol. 18, 2023, 100508, https://doi.org/10.1016/j.apsadv.2023.100508.
18. N. Lambert, A. Taylor, P. Hubík, J. Bulíř, J. More-Chevalier, H. Karaca, C. Fleury, J. Voves, Z. Šoň,
D. Pogany, V. Mortet, Modeling current transport in boron-doped diamond at high electric fields
including self-heating effect, Diamond and Related Materials, Vol. 109, 2020, 108003,
https://doi.org/10.1016/j.diamond.2020.108003.