Journal of Sensors

Journal of Sensors / 2011 / Article

Research Article | Open Access

Volume 2011 |Article ID 813636 |

Akio Kitagawa, "Electron Spin Resonance Measurement with Microinductor on Chip", Journal of Sensors, vol. 2011, Article ID 813636, 3 pages, 2011.

Electron Spin Resonance Measurement with Microinductor on Chip

Academic Editor: Csaba Dücső
Received06 May 2011
Revised07 Jul 2011
Accepted11 Jul 2011
Published12 Sep 2011


The detection of radicals on a chip is demonstrated. The proposed method is based on electron spin resonance (ESR) spectroscopy and the measurement of high-frequency impedance of the microinductor fabricated on the chip. The measurement was by using a frequency sweep of approximately 100 MHz. The ESR spectra of di(phenyl)-(2,4,6-trinitrophenyl)iminoazanium (DPPH) dropped on the microinductor which is fabricated with CMOS 350-nm technology were observed at room temperature. The volume of the DPPH ethanol solution was 2 μL, and the number of spins on the micro-inductor was estimated at about 1014. The sensitivity is not higher than that of the standard ESR spectrometers. However, the result indicates the feasibility of a near field radical sensor in which the microinductor as a probe head and ESR signal processing circuit are integrated.

1. Introduction

Electron spin resonance (ESR) spectroscopy or electron paramagnetic resonance (EPR) spectroscopy is a widely used way of measuring and characterizing electronic materials [1, 2]. It is also used in biomedical analysis and imaging [3, 4] because radicals can be identified and quantitatively determined. The ESR phenomenon occurs based on the Zeeman effect of the unpaired electron in radicals, which can be observed by the resonance absorption of the magnetic wave at the specified frequency. The ESR frequency of the magnetic wave is proportional to the applied DC magnetic field. The ESR spectrum is provided by a frequency sweep of the magnetic wave or a sweep of the DC magnetic field strength. However, sweeping the DC magnetic field is widely used in most cases because the resonator which is designed to make resonance at the specific frequency is used to detect the small absorption of the electromagnetic power in the resonance [5]. In ESR spectroscopy on the frequency axis, the control system of the DC magnetic field can be eliminated, and this enables development of the radical sensors which integrate the ESR measurement circuit.

In this paper, we demonstrate ESR measurement with a microinductor to show the possible integration of ESR signal processing on a chip. The ESR spectroscopy was done by a frequency sweep of around 100 MHz in the fixed magnetic field.

2. Principle of Measurement

The configuration of the measurement system is shown in Figure 1. The high-frequency current in the microinductor generates a high-frequency magnetic wave. The DC magnetic field is perpendicularly applied to the microinductor. The magnetic permeability of the sample put on the microinductor is affected by the ESR, and the variation of the magnetic permeability is then detected as a variation of the impedance of the microinductor. The high-frequency magnetic field generated by the microinductor includes the vertical and the horizontal component against the DC magnetic field on the surface of the microinductor. The magnetic permeability is strongly affected by the perpendicular component of the high-frequency magnetic field [6], which is concentrated in the proximity of the metal wire to constitute the microinductor. The spatial range of the measurement depends on the intensity of the high-frequency current and the width of the metal wire.

The relative permeability 𝜇(𝜔) is expressed as a function of the frequency as shown by:𝜇(𝜔)=𝜇𝑟(𝜔)𝑗𝜇𝑖(𝜔),(1) where 𝑗 is an imaginary unit, 𝜇𝑟 and 𝜇𝑖 are a real and an imaginary part of the magnetic permeability. The impedance of the microinductor affected by the paramagnetic materials is expressed as follows (2):𝑍(𝜔)=𝑅0+𝑗𝜔{1+𝛼𝜇(𝜔)}𝐿0,(2) where 𝑅0 and 𝐿0 are a resistance and an inductance of the microinductor, which is not affected by the sample material. Here, 𝛼 is a filling factor which is a parameter of the contribution of the sample material to the magnetic permeability. From (1) and (2), (3a) is derived,𝑍𝑅(𝜔)=0+𝜔𝛼𝜇𝑖𝐿0𝐿+𝑗𝜔0+𝛼𝜇𝑟𝐿0,(3a)def=𝑅0+𝑅ESR𝐿+𝑗𝜔0+𝐿ESR.(3b)Here, 𝑅ESR and 𝐿ESR are a resistance component and an inductance component which are derived from the permeability of the sample material and proportional to the inductance of the microinductor. The impedance 𝑍(𝜔) can be calculated from the measurement of the 𝑆-parameters of the microinductor by using𝑍(𝜔)=𝑍01+𝑆11𝑆12𝑆21/1+𝑆221𝑆11+𝑆12𝑆21/1+𝑆22.(4) Here, 𝑍0 is the characteristic impedance of the ports of the measurement instruments. The characteristic impedance of the commercially available measurement instruments and connectors is normally 50 ohm.

3. Measurement Results

The microinductor of a 2-port configuration was fabricated with CMOS 350 nm technology. This microinductor was designed to have a higher self-resonance frequency than a measurement band. The wire metal was aluminum with a thickness of 570 nm and covered by the Si3N4 passivation layer. A photograph and specification of the microinductor are shown in Figure 2 and Table 1, respectively. The measured resistance (𝑅0) and inductance (𝐿0) are 16.2 ohm and 15.8 nH at a frequency of 100 MHz, respectively.

ShapeInner diameter [μm]Number of turnsLine width [μm]Line spacing [μm]

Rectangular spiral2406101

The measurement results for di(phenyl)-(2,4,6-trinitrophenyl)iminoazanium (DPPH) are shown in Figure 3. DPPH is the popular standard of the position (𝑔-marker) and intensity of EPR signals. The 𝑅ESR and 𝐿ESR were calculated from the measured 𝑆-parameters by using (3b) and (4). The 2-μL DPPH ethanol solution (0.1 mg/L) was dropped on a microinductor and dried at room temperature. The number of spins on the microinductor was estimated at about 1014. The magnetic field was 4.2 mT and the center frequency of the signal was 117.6638 MHz. From these results, the 𝑔-factor of the ESR line was estimated at 2.0016. The estimated 𝑔-factor is smaller than the reported value (𝑔=2.0023) [7]. As the magnetic field is not measured accurately enough to estimate the 𝑔-factor, calibration by another 𝑔-marker is needed to estimate the 𝑔-factor more precisely.

4. Conclusions

The ESR measurement with a microinductor fabricated on a chip is demonstrated to show the possible integration of ESR signal processing on a chip. The ESR spectra of DPPH are observed at room temperature. The number of spins on the microinductor was estimated at about 1014. While sensitivity is not higher than that of the standard ESR spectrometers, the measurement system with a microinductor has several advantages. First, it is of small size, simple, and compact. Second, frequency scans can be done without the need for a magnetic field sweep. Third, the instrumentation is well developed in the very high frequency range (from 30 MHz to 300 MHz) and the ultrahigh frequency range (from 300 MHz to 3 GHz). Fourth, the probe head can be manufactured with CMOS technology. This instrument may be used to construct near-field ESR apparatuses with high spatial resolution.


This work was supported by VLSI Design and Education Center (VDEC), The University of Tokyo in collaboration with Cadence Corporation and Mentor Graphics, Inc. The VLSI chip in this study has been fabricated in the chip fabrication program of VDEC, the University of Tokyo in collaboration with Rohm Corporation and Toppan Printing Corporation. This work was also supported by Grant-in-Aid for Scientific Research (C) (20510116) of Japan Society for the Promotion of Science (JSPS) and Adaptable & Seamless Technology Transfer Program through Target-driven R&D (AS2121327A) of Japan Science and Technology Agency (JST).


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Copyright © 2011 Akio Kitagawa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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