### Abstract

The impurity paramagnetic ion, Cu^{2+} substitutes Al in the SrLaAlO_{4} single crystal lattice, this results in a CuO_{6} elongated octahedron, and the resulting measured g-factors satisfy four-fold axes variation condition. The aggregate frequency width of the electron spin resonance with the required minimum level of impurity concentration has been evaluated in this single crystal SrLaAlO_{4}at 20 millikelvin. Measured parallel hyperfine constants, A_{∥Cu}, were determined to be -155.7 × 10^{-4} cm^{-1}, - 163.0 × 10^{-4} cm^{-1}, - 178.3 × 10^{-4} cm^{-1} and -211.1 × 10^{-4} cm^{-1} at 9.072 GHz (WGH4,1,1) for the nuclear magnetic quantum number MI = +3/2 ,+1/2 ,-1/2 , and-3/2 respectively. The anisotropy of the hyperfine structure reveals the characteristics of the static JahnTeller effect. The second-order-anisotropy term, ≈ ( spin-orbit coupling/10Dq )^{2}, is significant and cannot be disregarded, with the local strain dominating over the observed Zeeman-anisotropy-energy difference. The Bohr electron magneton, - = 9.23 × 10^{-24}JT^{-1}, (within -0.43% so-called experimental error) has been found using the measured spin-Hamiltonian parameters. Measured nuclear dipolar hyperfine structure parameter P- = 12.3 × 10^{-4} cm^{-1} shows that the mean inverse third power of the electron distance from the nucleus is 〈r_{q} ^{-3}〉 ≲ 5.23 a.u. for Cu^{2+} ion in the substituted Al^{3+}ion site assuming nuclear electric quadruple moment Q = -0.211 barn.

Language | English |
---|---|

Article number | 015802 |

Journal | Journal of Physics Condensed Matter |

Volume | 30 |

Issue number | 1 |

DOIs | |

State | Published - 10 Jan 2018 |

### Fingerprint

### Cite this

^{2+}impurity ion ESR in SrLaAlO

_{4}dielectric resonator at 20 millikelvin.

*Journal of Physics Condensed Matter*,

*30*(1), [015802]. DOI: 10.1088/1361-648X/aa9a1e

}

^{2+}impurity ion ESR in SrLaAlO

_{4}dielectric resonator at 20 millikelvin'

*Journal of Physics Condensed Matter*, vol 30, no. 1, 015802. DOI: 10.1088/1361-648X/aa9a1e

**Aggregate frequency width, nuclear hyperfine coupling and Jahn-Teller effect of Cu ^{2+} impurity ion ESR in SrLaAlO_{4} dielectric resonator at 20 millikelvin.** / Hosain, M. A.; Le Floch, J. M.; Krupka, J.; Tobar, M. E.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Aggregate frequency width, nuclear hyperfine coupling and Jahn-Teller effect of Cu2+ impurity ion ESR in SrLaAlO4 dielectric resonator at 20 millikelvin

AU - Hosain,M. A.

AU - Le Floch,J. M.

AU - Krupka,J.

AU - Tobar,M. E.

PY - 2018/1/10

Y1 - 2018/1/10

N2 - The impurity paramagnetic ion, Cu2+ substitutes Al in the SrLaAlO4 single crystal lattice, this results in a CuO6 elongated octahedron, and the resulting measured g-factors satisfy four-fold axes variation condition. The aggregate frequency width of the electron spin resonance with the required minimum level of impurity concentration has been evaluated in this single crystal SrLaAlO4at 20 millikelvin. Measured parallel hyperfine constants, A∥Cu, were determined to be -155.7 × 10-4 cm-1, - 163.0 × 10-4 cm-1, - 178.3 × 10-4 cm-1 and -211.1 × 10-4 cm-1 at 9.072 GHz (WGH4,1,1) for the nuclear magnetic quantum number MI = +3/2 ,+1/2 ,-1/2 , and-3/2 respectively. The anisotropy of the hyperfine structure reveals the characteristics of the static JahnTeller effect. The second-order-anisotropy term, ≈ ( spin-orbit coupling/10Dq )2, is significant and cannot be disregarded, with the local strain dominating over the observed Zeeman-anisotropy-energy difference. The Bohr electron magneton, - = 9.23 × 10-24JT-1, (within -0.43% so-called experimental error) has been found using the measured spin-Hamiltonian parameters. Measured nuclear dipolar hyperfine structure parameter P- = 12.3 × 10-4 cm-1 shows that the mean inverse third power of the electron distance from the nucleus is 〈rq -3〉 ≲ 5.23 a.u. for Cu2+ ion in the substituted Al3+ion site assuming nuclear electric quadruple moment Q = -0.211 barn.

AB - The impurity paramagnetic ion, Cu2+ substitutes Al in the SrLaAlO4 single crystal lattice, this results in a CuO6 elongated octahedron, and the resulting measured g-factors satisfy four-fold axes variation condition. The aggregate frequency width of the electron spin resonance with the required minimum level of impurity concentration has been evaluated in this single crystal SrLaAlO4at 20 millikelvin. Measured parallel hyperfine constants, A∥Cu, were determined to be -155.7 × 10-4 cm-1, - 163.0 × 10-4 cm-1, - 178.3 × 10-4 cm-1 and -211.1 × 10-4 cm-1 at 9.072 GHz (WGH4,1,1) for the nuclear magnetic quantum number MI = +3/2 ,+1/2 ,-1/2 , and-3/2 respectively. The anisotropy of the hyperfine structure reveals the characteristics of the static JahnTeller effect. The second-order-anisotropy term, ≈ ( spin-orbit coupling/10Dq )2, is significant and cannot be disregarded, with the local strain dominating over the observed Zeeman-anisotropy-energy difference. The Bohr electron magneton, - = 9.23 × 10-24JT-1, (within -0.43% so-called experimental error) has been found using the measured spin-Hamiltonian parameters. Measured nuclear dipolar hyperfine structure parameter P- = 12.3 × 10-4 cm-1 shows that the mean inverse third power of the electron distance from the nucleus is 〈rq -3〉 ≲ 5.23 a.u. for Cu2+ ion in the substituted Al3+ion site assuming nuclear electric quadruple moment Q = -0.211 barn.

KW - crystal field

KW - effective spin

KW - g-factor

KW - hyperfine structure

KW - multiplet

KW - spin-Hamiltonian

KW - whispering gallery mode

UR - http://www.scopus.com/inward/record.url?scp=85038595279&partnerID=8YFLogxK

U2 - 10.1088/1361-648X/aa9a1e

DO - 10.1088/1361-648X/aa9a1e

M3 - Article

VL - 30

JO - JOURNAL OF PHYSICS : CONDENSED MATTER

T2 - JOURNAL OF PHYSICS : CONDENSED MATTER

JF - JOURNAL OF PHYSICS : CONDENSED MATTER

SN - 0953-8984

IS - 1

M1 - 015802

ER -

^{2+}impurity ion ESR in SrLaAlO

_{4}dielectric resonator at 20 millikelvin. Journal of Physics Condensed Matter. 2018 Jan 10;30(1). 015802. Available from, DOI: 10.1088/1361-648X/aa9a1e