Resistance thermometer

1. A resistance thermometer, composed of a plurality of components, comprising:

at least one substrate, which is composed essentially of a material, whose thermal coefficient of expansion is essentially greater than 10.5 ppm/K;

at least one resistive element, which is arranged on said at least one substrate; and

at least one electrically insulating, separating layer, which is arranged essentially between said at least one resistive element and said at least one substrate; wherein:

said at least one substrate, said at least one resistive element and said at least one separating layer are embodied and matched to one another in such a manner, that a resulting effective thermal coefficient of expansion TCE eff of the resistance thermometer corresponds to a predeterminable value, wherein the effective thermal coefficient of expansion TCE eff of the resistance thermometer is approximately given essentially by the following formula:

TCE

eff

=

∑

i

=

1

N

⁢

TCE

i

*

d

i

*

E

i

*

F

i

∑

i

=

1

N

⁢

d

i

*

E

i

*

F

i

,

wherein N is the number of components of the resistance thermometer, the index i indexes the individual components, and TCE i , d i and E i are, respectively, thermal coefficient of expansion, thickness and elasticity of the individual components, and F i takes into consideration a geometric factor; and

the effective thermal coefficient of expansion TCE eff is greater than or equal to the thermal coefficient of expansion of the bulk metal of said at least one resistive element.

2. The resistance thermometer as claimed in claim 1 , wherein:

said at least one substrate is composed essentially of a material, whose thermal coefficient of expansion lies essentially between 10.5 and 13.5 ppm/K.

3. The resistance thermometer as claimed in claim 1 , wherein:

said at least one resistive element is composed essentially of platinum and/or nickel.

4. The resistance thermometer as claimed in claim 1 , wherein:

said at least one resistive element has a coating thickness between 0.1 μm and 2 μm.

5. The resistance thermometer as claimed in claim 1 , wherein:

said electrically insulating, separating layer has a thickness between 0.5 μm and 50 μm.

6. The resistance thermometer as claimed in claim 1 , wherein:

said electrically insulating, separating layer has a thermal coefficient of expansion between 0.4 and 8 ppm/K.

7. The resistance thermometer as claimed in claim 1 , further comprising:

at least one electrically insulating covering, which is arranged essentially on the side of said at least one resistive element facing away from said at least one substrate.

8. The resistance thermometer as claimed in claim 7 , wherein:

said electrically insulating covering has a thickness between 0.5 μm and 100 μm.

9. The resistance thermometer as claimed in claim 1 , wherein:

said at least one substrate is composed essentially of zirconium oxide.

10. The resistance thermometer as claimed in claim 1 , wherein:

the thickness of said at least one substrate lies between 0.15 and 0.5 mM.

11. The resistance thermometer as claimed in claim 1 , further comprising:

at least one inner, equalizing layer on the side of said at least one substrate facing away from said at least one resistive element.

12. The resistance thermometer as claimed in claim 11 , wherein:

said at least one inner, equalizing layer, with reference to a change of expansion caused by temperature, is formed essentially equally as said at least one separating layer.

13. The resistance thermometer as claimed in claim 7 , further comprising:

at least one outer, equalizing layer on the side of said at least one substrate facing away from said at least one resistive element.

14. The resistance thermometer as claimed in claim 13 , wherein:

said at least one outer, equalizing layer, with reference to a change of expansion caused by temperature, is formed essentially equally as said at least one, electrically insulating covering.

15. The resistance thermometer as claimed in claim 7 , wherein:

said at least one substrate is composed essentially of zirconium oxide;

said at least one substrate has a thickness between 0.3 and 0.5 mm;

said at least one resistive element is composed essentially of platinum;

and has a thickness between 0.45 and 2 μm;

said at least one separating layer has a thickness between 0.5 and 40 μm and is composed essentially of a glass ceramic having a thermal coefficient of expansion between 6 and 7.5 ppm/K; and said at least one, electrically insulating covering has a thickness between 5 and 40 μm and is composed essentially of a glass ceramic having a thermal coefficient of expansion between 6 and 7.5 ppm/K.

16. The resistance thermometer as claimed in claim 7 , wherein:

said at least one substrate is composed essentially of zirconium oxide;

said at least one substrate has a thickness between 0.3 and 0.5 mm;

said at least one resistive element is composed essentially of platinum having at least one alloying substance, and has a thickness between 0.45 and 2 μm;

said at least one separating layer has a thickness between 0.5 and 40 μm and is composed essentially of a glass ceramic having a thermal coefficient of expansion between 6 and 7.5 ppm/K; and

said at least one, electrically insulating covering has a thickness between 5 and 40 μm and is composed essentially of a glass ceramic having a thermal coefficient of expansion between 6 and 7.5 ppm/K.

17. The resistance thermometer as claimed in claim 7 , wherein:

said at least one substrate is composed essentially of zirconium oxide, and has a thickness between 0.3 and 0.5 mm;

said at least one resistive element is composed essentially of nickel, and has a thickness between 0.1 and 2 μm;

said at least one separating layer has a thickness between 0.5 and 40 μm, and is composed essentially of a glass ceramic;

said at least one separating layer has a thermal coefficient of expansion between 6 and 7.5 ppm/K; and

said at least one, electrically insulating covering is composed essentially of a polymer or of glass.

18. The resistance thermometer as claimed in claim 1 , wherein:

said at least one substrate is composed essentially of zirconium oxide stabilized with yttrium between 3 mol-% and 8 mol-%.

19. The resistance thermometer as claimed in claim 1 , wherein:

said at least one substrate is composed essentially of zirconium oxide stabilized with scandium between 3 mol-% and 11 mol-%.

20. The resistance thermometer as claimed in claim 1 , wherein:

said at least one substrate is composed essentially of zirconium oxide stabilized with magnesium between 0.5 mol-% and 4 mol-%.