The primary purpose of ion source etching is to process the thin film thickness. Both sides of the quartz crystal are deposited with an Ag/Ni/quartz crystal bi-layer film. The mask is placed on the front side, i.e., the lower layer, and ion source etching is performed from the bottom to the top, only one side. The overall thickness of the film determines the frequency since only one side is etched. Adjusting the thickness of the Ag film achieves the fine-tuning of the quartz components' frequency. The measurements include the FL (MHz), FLD (ppm), and RR impedance (Ω) of the quartz crystal element after ion etching. Table 2 lists the measurement data of quartz components before and after ion etching of Groups A, B, and C.
Before ion source etching, the quartz crystal elements (Groups A, No. 1 to No. 5) exhibit different FL (38.745099 ~ 38.777337 MHz), FLD (-3469.7 ~ -2640.5 ppm), and load resonant impedance RR (8.4 ~ 10.5 Ω), with an average impedance of 9.48 Ω. After ion source etching, the surface of the quartz crystal with Ag thin film (Groups A, No. 1 to No. 5) corresponds to different FL (38.865013 ~ 38.870015 MHz), FLD (-385.5 ~ -256.8 ppm), and load resonant impedance RR as follows: No. 1 = 8.7 Ω, No. 2 = 8.9 Ω, No. 3 = 8.9 Ω, No. 4 = 9.1 Ω, and No. 5 = 8.8 Ω. The load resonant impedance RR ranges from 8.7 to 9.1 Ω, with an average impedance convergence of 8.88 Ω, representing a 6.32% average impedance reduction.
Before ion source etching, the quartz crystal elements (Groups B, No. 6 to No. 10) exhibit different FL (38.723784 ~ 38.791838 MHz), FLD (-4017.9 ~ -2267.6 ppm), and load resonant impedance RR (8.7 ~ 13.2 Ω), with an average impedance of 10.0 Ω. The mask size of Group B is slightly larger than Group A's, so some electrode zones will be etched. After ion source etching, the surface of the quartz crystal with Ag thin film (Groups B, No. 6 to No. 10) corresponds to different FL (38.868439 ~ 38.870232 MHz), FLD (-297.4 ~ -251.2 ppm), and load resonant impedance RR as follows: No. 6 = 9.6 Ω, No. 7 = 9.8 Ω, No. 8 = 9.7 Ω, No. 9 = 9.8 Ω, and No. 10 = 9.7 Ω. The average impedance convergence is 9.74 Ω, representing a 2.6% average impedance reduction.
Before ion source etching, the quartz crystal elements (Groups C, No. 11 to No. 15) exhibit different FL (38.767371 ~ 38.794739 MHz), FLD (-2896.8 ~ -2192.9 ppm), and load resonant impedance RR (9.1 ~ 14.5 Ω), with an average impedance of 11.22 Ω. The mask size of group C is more significant than that of groups A and B, so more electrode zones will be etched. After ion source etching, the surface of the quartz crystal with Ag thin film (Groups C, No. 11 to No. 15) corresponds to different FL (38.868999 ~ 38.870627 MHz), FLD (-282.9 ~ -241.1 ppm), and load resonant impedance RR as follows: No. 11 = 12.2 Ω, No. 12 = 21.1 Ω, No. 13 = 11.0 Ω, No. 14 = 10.9 Ω, and No. 15 = 10.0 Ω. The average impedance divergence is 13.04 Ω, an increase of up to 46.8% compared to the standard impedance value (~ 8.88 Ω). The data reveals that the larger mask size in Groups A, B, and C results in exposure to the quartz crystals non-etched zone, causing a rapid increase in load resonant impedance RR after etching. This leads to the instability of the quartz crystal frequency or failure to oscillate (i.e., producing defective products). This result aligns with Eq. (2), where improper etching of the quartz crystal electrode feet and non-ion-etched areas leads to a decrease in the cross-sectional area (A), resulting in an undesired increase in resistance.
R = ρ (L/A) (2)
Where:
R is the electrical resistance (in ohms, Ω).
ρ is the resistivity of the material (in ohm-meters, Ω·m).
L is the length of the conductor (in meters, m).
A is the cross-sectional area of the conductor (in square meters, m²)
Table 2
Measurement data for the quartz component before and after ion etching.
Group A | FR (MHz) | FL (MHz) | FLD (Eq. 1) (ppm) | RR (Ω) |
before |
No.1 | 38.880000 | 38.766991 | -2906.6 | 9.1 |
No.2 | 38.880000 | 38.777337 | -2640.5 | 10.0 |
No.3 | 38.880000 | 38.760936 | -3062.3 | 9.4 |
No.4 | 38.880000 | 38.745099 | -3469.7 | 8.4 |
No.5 | 38.880000 | 38.747338 | -3412.1 | 10.5 |
after |
No.1 | 38.880000 | 38.869569 | -268.3 | 8.7 |
No.2 | 38.880000 | 38.865056 | -384.4 | 8.9 |
No.3 | 38.880000 | 38.869238 | -276.8 | 8.9 |
No.4 | 38.880000 | 38.870015 | -256.8 | 9.1 |
No.5 | 38.880000 | 38.865013 | -385.5 | 8.8 |
Group B |
before |
No.6 | 38.880000 | 38.743611 | -3507.9 | 9.7 |
No.7 | 38.880000 | 38.723784 | -4017.9 | 13.2 |
No.8 | 38.880000 | 38.779794 | -2577.3 | 8.7 |
No.9 | 38.880000 | 38.791838 | -2267.6 | 9.1 |
No.10 | 38.880000 | 38.757885 | -3140.8 | 9.3 |
after |
No.6 | 38.880000 | 38.870232 | -251.2 | 9.6 |
No.7 | 38.880000 | 38.869946 | -258.6 | 9.8 |
No.8 | 38.880000 | 38.868439 | -297.4 | 9.7 |
No.9 | 38.880000 | 38.869881 | -260.3 | 9.8 |
No.10 | 38.880000 | 38.869163 | -278.7 | 9.7 |
Group C |
before |
No.11 | 38.880000 | 38.767371 | -2896.8 | 10.5 |
No.12 | 38.880000 | 38.771422 | -2792.7 | 9.8 |
No.13 | 38.880000 | 38.794739 | -2192.9 | 14.5 |
No.14 | 38.880000 | 38.772951 | -2753.3 | 9.1 |
No.15 | 38.880000 | 38.783256 | -2488.3 | 12.2 |
after |
No.11 | 38.880000 | 38.869775 | -263.0 | 12.2 |
No.12 | 38.880000 | 38.870627 | -241.1 | 21.1 |
No.13 | 38.880000 | 38.869044 | -281.8 | 11.0 |
No.14 | 38.880000 | 38.869690 | -265.2 | 10.9 |
No.15 | 38.880000 | 38.868999 | -282.9 | 10.0 |