Method of angle correcting doubly rotated crystal resonators

Claim 1

A method for modifying the frequency vs. temperature characteristic of a quartz crystal resonator blank having at least one convex surface of contour D i , to have a new slope, df/dT| D .sbsb.f, at the point of inflection, comprising the steps of: (A) measuring the frequency vs. temperature characteristic of the blank with contour D i . (B) determining from said frequency vs. temperature characteristic the slope, df/dT| D .sbsb.i at the point of inflection, (C) determining from the following formula the diopter value, D f , required to yield the desired new slope, df/dT| D .sbsb.f at the point of inflection, ##EQU5## wherein p fT is the measured value of the change in inflection point slope for a unit step change in diopter value, (D) then re-contouring at least one convex side of said blank to the calculated new diopter value, D f .

Claim 2

A method for modifying the frequency vs. temperature characteristic of a quartz crystal resonator blank having at least one convex surface of contour D i , to have a new slope, df/dT| D .sbsb.f, at the point of inflection, comprising the steps of: (A) measuring the frequency vs. temperature characteristic of the blank with contour D i . (B) determining from said frequency vs. temperature characteristic the slope, df/dT| D .sbsb.i at the point of inflection, (C) determining from the following formula the diopter value, D f , required to yield the desired new slope, df/dT| D .sbsb.f at the point of inflection, ##EQU5## wherein p fT is the measured value of the change in inflection point slope for a unit step change in diopter value, (D) then re-contouring at least one convex side of said blank to the calculated new diopter value, D f .

Claim 4

The method of increasing or decreasing the slope at the point of inflection of the frequency vs. temperature curve of a plano-convex SC-cut resonator blank, comprising the step of changing the diopter value of the convex surface of said blank until the desired slope at the point of inflection is reached.

Claim 5

The method of increasing or decreasing the slope at the point of inflection of the frequency vs. temperature curve of a plano-convex SC-cut resonator blank, comprising the step of changing the diopter value of the convex surface of said blank until the desired slope at the point of inflection is reached.

Claim 6

A method for modifying the frequency vs. temperature characteristic of the c-mode of a plano-convex, fundamental mode, SC-cut quartz crystal resonator blank of contour D i , to have a new slope, df/dT| D .sbsb.f, at the point of inflection, comprising the steps of; (A) measuring the frequency vs. temperature characteristic of the blank with the contour D i , (B) determining from said frequency vs. temperature characteristic the slope, df/dT| D .sbsb.i, at the point of inflection, (C) determining from the following formula the diopter value, D f , required to yield the desired new slope, df/dT| D .sbsb.f, at the point of inflection, ##EQU6## (D) then re-contouring the convex side of said blank to the calculated new diopter value, D f .

Claim 7

A method for modifying the frequency vs. temperature characteristic of the c-mode of a plano-convex, fundamental mode, SC-cut quartz crystal resonator blank of contour D i , to have a new slope, df/dT| D .sbsb.f, at the point of inflection, comprising the steps of; (A) measuring the frequency vs. temperature characteristic of the blank with the contour D i , (B) determining from said frequency vs. temperature characteristic the slope, df/dT| D .sbsb.i, at the point of inflection, (C) determining from the following formula the diopter value, D f , required to yield the desired new slope, df/dT| D .sbsb.f, at the point of inflection, ##EQU6## (D) then re-contouring the convex side of said blank to the calculated new diopter value, D f .

Claim 8

A method for modifying the frequency vs. temperature characteristic of the c-mode of a plano-convex, third overtone, SC-cut quartz crystal resonator with an initial contour of D i diopters, to have a new slope df/dT| D .sbsb.f, at the point of inflection, comprising the steps of; (A) determining the frequency vs. temperature characteristic of the resonator at its initial contour, D i , (B) determining from said frequency vs. temperature characteristic the slope, df/dT| D .sbsb.i, at the point of inflection. (C) determining from the following formula the diopter value, d f , required to yield the desired new slope, df/dT| D .sbsb.f, at the point of inflection, ##EQU7## (D) then re-contouring the convex side of said blank to the calculated new diopter value, D f .

Claim 9

A method for modifying the frequency vs. temperature characteristic of the c-mode of a plano-convex, third overtone, SC-cut quartz crystal resonator with an initial contour of D i diopters, to have a new slope df/dT| D .sbsb.f, at the point of inflection, comprising the steps of; (A) determining the frequency vs. temperature characteristic of the resonator at its initial contour, D i , (B) determining from said frequency vs. temperature characteristic the slope, df/dT| D .sbsb.i, at the point of inflection. (C) determining from the following formula the diopter value, d f , required to yield the desired new slope, df/dT| D .sbsb.f, at the point of inflection, ##EQU7## (D) then re-contouring the convex side of said blank to the calculated new diopter value, D f .

Claim 10

The method of changing the frequency vs. temperature characteristic and the slope at the point of inflection thereof of an SC-cut or other doubly rotated crystal resonator, comprising the steps of measuring the frequency vs. temperature characteristic of said resonator with an electrode of a given area or diameter thereon, then reducing said area or diameter to yield a more negative slope at said point of inflection.

Claim 11

The method of changing the frequency vs. temperature characteristic and the slope at the point of inflection thereof of an SC-cut or other doubly rotated crystal resonator, comprising the steps of measuring the frequency vs. temperature characteristic of said resonator with an electrode of a given area or diameter thereon, then reducing said area or diameter to yield a more negative slope at said point of inflection.

Claim 12

The method of modifying the frequency vs. temperature characteristic of a plano-convex doubly rotated crystal resonator to obtain a predetermined slope at the point of inflection, comprising the steps of: modifying said characteristic by changing the contour of the convex side of said resonator to obtain the predetermined slope at the point of inflection, and then fine tuning said characteristic to the precise desired value by modifying the electrode area of said crystal resonator.

Claim 13

The method of modifying the frequency vs. temperature characteristic of a plano-convex doubly rotated crystal resonator to obtain a predetermined slope at the point of inflection, comprising the steps of: modifying said characteristic by changing the contour of the convex side of said resonator to obtain the predetermined slope at the point of inflection, and then fine tuning said characteristic to the precise desired value by modifying the electrode area of said crystal resonator.

Claim 14

The method of modifying the slope at the point of inflection of the frequency vs. temperature of a biconvex crystal resonator, comprising the steps of: determining frequency vs. temperature characteristic of said resonator with its initial contours, and then re-contouring one or both of said convex sides of said resonator until a desired slope at the point of inflection of the frequency vs. temperature characteristic is achieved.

Claim 15

The method of modifying the slope at the point of inflection of the frequency vs. temperature of a biconvex crystal resonator, comprising the steps of: determining frequency vs. temperature characteristic of said resonator with its initial contours, and then re-contouring one or both of said convex sides of said resonator until a desired slope at the point of inflection of the frequency vs. temperature characteristic is achieved.

Claim 16

The method of modifying the slope at the point of inflection of the characteristic curve of IT and FC cut doubly rotated crystal resonators of the plano-convex or biconvex types, comprising the steps of re-contouring one or both sides of said resonators to a different diopter value to establish a predetermined slope at the point of inflection of the characteristic curve.

Claim 17

The method of modifying the slope at the point of inflection of the characteristic curve of IT and FC cut doubly rotated crystal resonators of the plano-convex or biconvex types, comprising the steps of re-contouring one or both sides of said resonators to a different diopter value to establish a predetermined slope at the point of inflection of the characteristic curve.