Organic semiconductor element, strain sensor, vibration sensor, and manufacturing method for organic semiconductor element
US-12068093-B2 · Aug 20, 2024 · US
US9857247B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-9857247-B2 |
| Application number | US-201314399623-A |
| Country | US |
| Kind code | B2 |
| Filing date | May 7, 2013 |
| Priority date | May 7, 2012 |
| Publication date | Jan 2, 2018 |
| Grant date | Jan 2, 2018 |
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A method determines isotropic stress by means of a Hall element which includes a plate-shaped area made of a doped semiconductor material and comprises four contacts contacting the plate-shaped area and forming corners of a quadrangle, two neighboring corners of the quadrangle defining an edge thereof. At least one van der Pauw transresistance value in at least one van der Pauw measurement set-up of the Hall element is determined, wherein the four contacts of the Hall element form contact pairs, a contact pair comprising two contacts defining neighboring corners of the quadrangle. One contact pair supplies a current and the other contact pair measures a voltage. A relationship between the supplied current and the measured voltage defines the Van der Pauw transresistance value. The method comprises determining a stress signal which depends on the at least one Van der Pauw transresistance value and determining isotropic stress.
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The invention claimed is: 1. Method for determining isotropic stress by means of a Hall element which has a plate-shaped area made of a doped semiconductor material and comprises four contacts contacting the plate-shaped area, the contacts forming corners of a quadrangle, two neighbouring corners of the quadrangle defining an edge thereof, the method comprising: determining at least one van der Pauw transresistance value (R vdp1 ) in at least one van der Pauw measurement setup of the Hall element, wherein the four contacts of the Hall element form contact pairs, a contact pair comprising two contacts which are neighbouring corners of the quadrangle, one contact pair being used for supplying a current (I) and the other contact pair being used for measuring a voltage (V vdp1 ), a relationship between the supplied current (I) and the measured voltage (V vdp1 ) defining the Van der Pauw transresistance value (R vdp1 ); determining a stress signal (V S ) which depends at least on the at least one Van der Pauw transresistance value (R vdp1 ); and determining the isotropic stress by comparing the determined stress signal (V s ) with a predetermined reference stress signal (V Sref (T)) which is temperature-dependent. 2. Method according to claim 1 , furthermore comprising calculating a sheet resistance value (R sq ) from the at least one van der Pauw transresistance value (R vdp1 , R vdp2 ) and using the sheet resistance for determining the stress signal (V s ). 3. Method according to claim 2 , wherein calculating a sheet resistance value (R sq ) from the at least one van der Pauw transresistance value (R vdp1 , R vdp2 ) includes solving the van der Pauw equation exp ( - π R vdp 1 R sq ) + exp ( - π R vdp 2 R sq ) = 1 or a mathematically equivalent relation which can be derived from this, possibly by using linear relations that exist between transresistance measurements performed on the Hall element. 4. Method according to claim 1 , wherein determining at least one Van der Pauw transresistance value (R vdp1 , R vdp2 ) includes determining the at least one Van der Pauw transresistance value on a Hall element in which the contacts are respectively uniformly angularly displaced by 90°. 5. Method according to claim 1 , wherein determining at least one Van der Pauw transresistance value (R vdp1 , R vdp2 ) comprises: measuring a first Van der Pauw transresistance value (R vdp1 ) in a first Van der Pauw measurement set-up wherein a first contact pair consisting of neighbouring contacts is used for supplying current and a second contact pair comprising neighbouring contacts is used for measuring a voltage, the second contact pair being different from the first contact pair; and measuring a second Van der Pauw transresistance value (R vdp2 ) in a second Van der Pauw measurement set-up wherein a third contact pair consisting of neighbouring contacts is used for supplying current and a fourth contact pair consisting of neighbouring contacts is used for measuring a voltage, the third contact pair being different from the first and the fourth contact pair and the fourth contact pair being different from the second contact pair, all contact pairs consisting of two out of the four contacts of the plate. 6. Method according to claim 1 , wherein determining at least one Van der Pauw transresistance value (R vdp1 , R vdp2 ) comprises measuring a first Van der Pauw transresistance value (R vdp1 ) in a first Van der Pauw measurement set-up wherein a first contact pair consisting of neighbouring contacts is used for supplying current and a second contact pair consisting of neighbouring contacts is used for measuring a voltage, the second contact pair being different from the first contact pair; and measuring at least a first diagonal transresistance value (R diag1 ) in a first diagonal measurement set-up on the Hall element, a fifth contact pair being used for supplying a current and a sixth contact pair being used for measuring a voltage, the contacts of the fifth contact pair being interleaved along the edge of the quadrangle with the contacts of the sixth contact pair, all contact pairs consisting of two out of the four contacts of the plate, a relationship between the supplied current and the measured voltage defining the diagonal transresistance value (R diag1 ); and calculating a second Van der Pauw transresistance value from the first Van der Pauw transresistance value (R vdp1 ) and the at least first diagonal transresistance (R diag1 ). 7. Method according to claim 6 , wherein measuring at least a first diagonal transresistance value comprises measuring a first diagonal transresistance value (R diag1 ) in a first diagonal measurement set-up; and measuring a second diagonal transresistance value (R diag2 ) in a second diagonal measurement set-up different from the first diagonal measurement set-up, and wherein calculating a second Van der Pauw transresistance (R VdP2 ) value comprises calculating the second Van der Pauw transresistance value (R VdP2 ) from the first Van der Pauw transresistance value (R vdp1 ) and the sum or difference of the two diagonal transresistances. 8. Method according to claim 1 , wherein determining the stress signal (V S ) which depends at least on the at least one Van der Pauw transresistance value (R vdp1 ) includes taking the stress signal (V s ) proportional to the sheet resistance value (R sq ). 9. Method for determining a component of a magnetic field by means of a Hall element which has a plate-shaped area made of a doped semiconductor material and comprises four contacts contacting the plate-shaped area, the Hall element being located in the magnetic field, the method comprising: determining the relative stress signal (V Srel ) by means of the Hall element, according to claim 7 ; calculating a Hall voltage value (V Hall ) proportional to the magnetic field by adding a first diagonal voltage proportional t
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