Comparison Of The Characteristics Of Quartz, Langasite and Gallium Phosphate Bulk Acoustic Wave Resonators
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1 Comparison Of The Characteristics Of Quartz, Langasite and Gallium Phosphate Bulk Acoustic Wave Resonators Bernd Neubig* *AXTAL, Buchfinkenweg 8, D Lobbach, 1
2 Content Scope Langasite (LGS) and GaPO 4 Material Comparison of Resonator Characteristics Temperature Compensation for Sensors VCXO and OCXO application Summary & Conclusions 2
3 Scope LGS and GaPO 4 are rather thoroughly characterized piezoelectric crystal materials Both materials are now commercially available Both materials are excellent candidates for applications as sensors and frequency control components beyond the limitations given by quartz 3
4 LGS and GaPO 4 Material Langasite (LGS) La 3 Ga 5 SiO 14 Courtesy FOMOS Moscow / Russia 4
5 LGS and GaPO 4 Material Gallium Phosphate GaPO 4 Courtesy PIEZOCRYST Graz / Austria 5
6 LGS and GaPO 4 Material Why use these materials? Higher coupling factor k than quartz, while high Q-factor and good temperature stability k max Quartz 8 % Langasite 14.8 % GaPO % k C 0 C + 1 C 1 allows wider frequency pulling for VCXO (Voltage Controlled Crystal Oscillator) allows sufficient pulling for higher overtones (OCXO) allows higher sensitivity for capacitor/resonator sensor systems 6
7 LGS and GaPO 4 Material Why use these materials? Lower frequency constant N = f t than quartz Quartz (AT cut) Langasite (Y-cut) GaPO 4 (Y -17 cut) N 1660 khz mm 1380 khz mm 1270 khz mm allows smaller resonators at lower frequency Application at very high temperatures Limiting factor Quartz Twinning >350 C, α β phase 573 C Langasite Melting 1470 C GaPO 4 α β-cristobalite phase 970 C 7
8 LGS and GaPO 4 Material What are the limiting factors? Manufacturing cost Quartz Langasite GaPO 4 Cheap raw material, cost-effective hydrothermal growth High Gallium price, low-cost & fast Czochrasky growth High Gallium price, expensive & slow hydrothermal growth, yield limitations Available wafer size Quartz Langasite GaPO 4 4 wafers commercially available in high volume 3 and 4 wafers commercially available Blanks with dislocation-free areas of 2~4 cm² 8
9 LGS and GaPO 4 Material Some Characteristic Parameters Moh s hardness 7 6,6 5 Density / kg m Thermal expansion α 11 in ppm K -1 α 33 Dielectric permittivity S ε 11 S ε 33 Piezoelectric coefficient d 11 in pc N -1 d 14 Quartz 13,7 7,5 4,43 4,63 2,3 0,57 Langasite 5,1 3,6 18,9 50,7 6,2 5,3 GaPO 4 12,8 3,7 5,8 6,6 4,5 1,9 9
10 LGS and GaPO 4 BAW Y -Cuts Temperature coefficient and coupling of single rotated GaPO 4 y-cuts 50 0, ,15 f/f [ppm/ C] "BT" tc1 "AT" 0,10 0,05 coupling k [%] θ [ ] coupling 0,00 from: Krispel, F. et al., FCS 2003 from: Sakharov, S.A. et al., FCS 1992 GaPO 4 LGS 10
11 f(t) for LGS Y -Cuts df f ( T ) = a ( T ) 2 T 0 with a 2 = -0,059 ppm K -2 Angle sensitivity for TOT: -0,4 K arcmin -1 from: Grouzinenko, V.B. et al., FCS
12 f(t) for GaPO 4 Y -cuts Y -16 Y -13 ( ) ( ) from: Worsch, P.M. et al., Munich (2001) T = a2 T T 0 df f Y -16 Angle sensitivity: -0,8 K arcmin -1 a 2 = -0,019 ppm K -2 12
13 Temperature Stability f(t) - Comparison LGS vs. GaPO 4 13
14 Temperature Stability Overall temp. stability LGS vs. GaPO 4 14
15 Temperature Stability Hi-Temperature f(t) LGS vs. GaPO 4 15
16 Other features Drive level dependence (Anisochronism) Non-Linearity starts at higher vibration amplitudes than in quartz AT cut resonators Comparable (GaPO 4 ) or superior (LGS) to quartz SC-cut, while easier to manufacture due to single rotation Allows to drive resonators harder Lower (phase) noise Advantage in some sensor / actor applications 16
17 Anisochronism Results 17
18 LGS : Resonator Parameters Freq [MHz] R 1 [Ohm] C 1 [ff] C 0 [pf] r Q 10,000 3, ,650 3, ,650 9, , ,700 28,0 47 3, ,000 9,5 36 2, ,000 8,2 31 2, LGS : C 1 and Q-factor C1 [ff] Q Enclosure: HC-52/U C 1 [ff] Q-factor ,000 10,000 15,000 20,000 25,000 30,000 Frequency [MHz] 18
19 GaPO 4 : Resonator Parameters Freq [MHz] R 1 [Ohm] C 1 [ff] C 0 [pf] r Q 7,375 4,6 59 3, ,000 2,4 78 4, ,966 2,2 80 4, ,280 3, ,625 3,7 64 5, ,000 7,4 69 3, ,500 8, ,85/ 3rd OT 62 1,1 1, Enclosure: HC-52/U 19
20 LGS : Spurious Resonances Enclosure: HC-52/U 20
21 GaPO 4 : Spurious Resonances Enclosure: HC-52/U 21
22 Temperature Compensation Compensation of f(t) error (sensor applications) by using 2 resonators and subtracting the frequencies Green: f(t) of reference resonator others: residual f(t) error for TOT-difference of 1 K, 2K and 3K 22
23 LGS and GaPO 4 VCXO D1 = hyperabrupt varactor VCXO schematic HC-52/U resonator & 9x14 mm VCXO 23
24 Pullability & Size Typical Pulling Characteristics f(c L ) of a 10 MHz LGS resonator in HC-52/U Package HC-52/U (H = 8.0mm) 24
25 VCXO Pulling characteristics Resonator: GaPO 4 16 MHz HC-52/U 25
26 VCXO Pulling characteristics PR Limitation by spurious resonances Even small spurious resonances distort the pulling characteristic. Spurious resonances increase with larger electrode size and with electrode thickness. Resonator design must take care of energy trapping. 26
27 VCXO Phase Noise VCXO 16 MHz LGS: C 1 = 36 ff Q= Blue: LGS Green: GaPO 4 GaPO 4 : C 1 = 69 ff Q=
28 GaPO 4 and Quartz OCXO OCXO in 4 pin DIL14 package requires a HC-52/U size resonator or smaller 10 MHz / 3 rd overtone not realizable in HC-52/U with Quartz AT and SC GaPO 4 allows 10 MHz / 3 rd due to lower frequency constant LGS would also allow 10 MHz / 3 rd, but is not evaluated yet 28
29 GaPO 4 and Quartz OCXO GaPO 4 vs. Quartz AT & SC Type Parameter Value Type Parameter Value GaPO 4 3 rd overtone Y cut HC-52/U Frequency R 1 C 1 C 0 Q r 9.85 MHz 62 Ω 1.06 ff 1.83 pf Quartz 3 rd overtone SC - cut HC-43/U Frequency R 1 C 1 C 0 Q r 10 MHz 100 Ω ff 2.17 pf Quartz Fundamental AT cut HC-52/U Frequency R 1 C 1 C 0 Q r 12 MHz 10.4 Ω 11.5 ff 2.54 pf Quartz 3 rd overtone AT - cut HC-43/U Frequency R 1 C 1 C 0 Q r 10 MHz 140 Ω 0.30 ff 4.15 pf used 29
30 DIP OCXO Allan Variance 30
31 DIP OCXO Warm-up OCXO with GaPO 4 resonator shows no overshoot, and is faster on frequency (after 60 sec), similar to SC-cut quartz crystal 31
32 Summary & Conclusions LGS and GaPO 4 show interesting capabilities for VCXO, OCXO and sensor applications VCXO in 9x14 mm size with high pulling range and low phase noise OCXO in DIP14 size using low-frequency 3 rd overtone resonators 32
33 Summary & Conclusions VCXO in 9x14 mm size Pulling range limited by spurious responses Trade-off C 1 vs. Spurs Energy trapping must be considered GaPO 4 offers better f(t) stability than LGS GaPO 4 shows in average higher Q value than LGS, close to Q-factors of quartz AT cuts Low anisochronism allows higher drive level 33
34 Summary & Conclusions OCXO 10 MHz in DIP14 size GaPO 4 Y -16 cut is a good candidate for miniature OCXO with overtone resonators short-term stability is superior to quartz (AT fund) resonator of same size Warm-up time of GaPO 4 based OCXO is shorter and shows no overshoot as a quartz AT-cut OCXO performance of LGS not studied yet 34
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