TW528860B - Temperature measuring method and apparatus and semiconductor heat treatment apparatus - Google Patents

Temperature measuring method and apparatus and semiconductor heat treatment apparatus Download PDF

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Publication number
TW528860B
TW528860B TW091104141A TW91104141A TW528860B TW 528860 B TW528860 B TW 528860B TW 091104141 A TW091104141 A TW 091104141A TW 91104141 A TW91104141 A TW 91104141A TW 528860 B TW528860 B TW 528860B
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Taiwan
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temperature
measured
state variable
variable
measurement
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TW091104141A
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Chinese (zh)
Inventor
Tomohiro Suzuki
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Tokyo Electron Ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01JMEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
    • G01J5/00Radiation pyrometry, e.g. infrared or optical thermometry
    • G01J5/0003Radiation pyrometry, e.g. infrared or optical thermometry for sensing the radiant heat transfer of samples, e.g. emittance meter
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01LSEMICONDUCTOR DEVICES NOT COVERED BY CLASS H10
    • H01L22/00Testing or measuring during manufacture or treatment; Reliability measurements, i.e. testing of parts without further processing to modify the parts as such; Structural arrangements therefor
    • H01L22/10Measuring as part of the manufacturing process
    • H01L22/12Measuring as part of the manufacturing process for structural parameters, e.g. thickness, line width, refractive index, temperature, warp, bond strength, defects, optical inspection, electrical measurement of structural dimensions, metallurgic measurement of diffusions
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01LSEMICONDUCTOR DEVICES NOT COVERED BY CLASS H10
    • H01L2924/00Indexing scheme for arrangements or methods for connecting or disconnecting semiconductor or solid-state bodies as covered by H01L24/00
    • H01L2924/0001Technical content checked by a classifier
    • H01L2924/0002Not covered by any one of groups H01L24/00, H01L24/00 and H01L2224/00

Abstract

A radiation thermometer measures a temperature of a semiconductor wafer according to a non-contact manner without using a complicated hardware structure. A state variable is obtained according to estimate algorithm calculation based on a result of measurement of a radiation light from the semiconductor wafer. The state variable includes an effective emissivity as an unknown variable. The temperature of the semiconductor wafer is calculated based on the calculated state variable.

Description

528860 A7 B7 五、發明説明(1 ) 技術領域 本發明是關於一使用輻射溫度計之溫度量測技術,特別 是有關一溫度測量方法與裝置,以使用非接觸方式測量一 待測物體之溫度。 背景技藝 在半導體晶圓之熱處理等過程中,必須準確地量測此受 熱之半導體晶圓的溫度。一接觸式之溫度量測裝置,例如 熱電偶,不能用來測量一半導體晶圓的溫度,因為實際上 之半導體電路將於該半導體晶圓之表面形成。因此,在一 半導體晶圓之熱處理裝置上,通常使用輻射溫度計以測量 半導體晶圓之溫度。 一輻射溫度計為測量一待測物體表面所放射之紅外線強 度,並由此測量所得之強度估計此待測物體之溫度。由半 導體晶圓所放射之紅外線強度會隨著半導體晶圓輻射表面 放射率之不同而有所改變。例如,一氧化膜於半導體晶圓 輻射表面形成時,此氧化膜之放射率將異於加熱初期半導 體晶圓表面之放射率。 因此,如下所述之一不受輻射表面放射率影響之測量方 法,以及一可修正放射率之測量方法,已被提出。 1) 使用一預先決定強度之參考光源,照射至一待測物 體上(半導體晶圓),並測量由此待測物所反射之參考光源 強度,以取得其實際之放射率。也就是說,依據該關係式 (放射率=反射因子-1)可取得其實際放射率,並由此放射 率可得知此待測物體之溫度。 -4 - 本紙張尺度適用中國國家標準(CNS) A4規格(210 X 297公釐) 五、發明説明(2 2) 建立兩種以上有效放射率之狀態,並計算包含代表 各種不同狀態放射率之同步方程式所得之解,而得知其放 射率。利用由此方式取得之放射率加以計算後,可得知此 待測物體之溫度。美國專利編號5,66〇,472已揭示牝種方 式。 3) 與待測物體之間形成一多重反射結構,以使得其有 效放射率接近於1 例如,一待測之半導體晶圓經安排佈 置後,可使得由半導體晶圓表面所輻射之光線於半導體晶 圓與定位平台之間產生多重反射,並根據此多重反射^輻 射光線強度可計算出此待測物體之溫度。也就是說,溫度 I計算係由假設一待測物體為假黑體(放射率=丨)以進行 運算。此方法之實例於美國專利編號6,174,〇8〇以及編號 6,293,696中加以揭示。 上述輻射溫度計之溫度量測方法有一個問題,即測量裝 置結構複雜並且造價高昂。再者,另一個問題是,由於結 果之重複性很低而導致量測所得之溫度準確性不高,這是 由於接近溫度測量點時所產生之環境變化以及隨時間流逝 所形成之I測系統特性異動等等因素所造成的影響。 例如,前述之方法1 )使用一預先決定強度之參考光源 照射至待測物體上,需要準確地控制參考光源之波長與強 度’然而能夠產生如此準確之參考光源的裝置卻造價昂 貴β 此外,雖然前述之方法2 )建立兩種以上有效放射率之 狀態,並經由維持於接近溫度量測點之環境條件,以達到 528860 A7 B7 五、發明説明(3 ) 一預先決定之有效放射率狀態。然而,要將環境一直維持 在溫度量測點附近並不容易。再者,如果量測系統特性隨 時間而改變,在此隨時間流逝所產生之特性改變的影響 下,欲保持準確的溫度測量十分困難。 另外,雖然方法3 )與待測物體之間形成一多重反射結 構,但卻必須在待測物體與一具有反射率等於1的物體之 間形成多重反射。然而實際上並沒有反射率等於1之物體 存在。於是,其計算必須將一反射率不等於1的物體視為 一具有反射率等於1的物體才能進行,因而造成無可避免 的誤差。此誤差將含括於利用此計算方式所取得之溫度值 中 0 發明揭示 本發明之目的在於提出一經過改良且有效的溫度測量方 式,以消除前述之各項問題。 本發明更精確的目標在於提出一溫度測量方法與裝置, 以便於準確地使用非接觸方式測量待測物體之溫度,而無 須使用一複雜的硬體架構。另外並提出一使用此溫度測量 方式之半導體熱處理裝置。 為達成上述之目標,本發明一方面將提出一非接觸式之 溫度測量方法,以測量一待測物體之溫度,其步驟包含: 測量由待測物體所發出之輻射光線;依據此輻射光線之測 量結果所作之估計值演算法運算以取得一狀態變數;根據 此運算所得之狀態變數以計算出此待測物體之溫度。 依據本發明所得之溫度測量方式,取得此狀態變數之步 -6 - 本紙張尺度適用中國國家標準(CNS) A4規格(210 X 297公釐) 528860 A7 B7 五、發明説明(4 ) 驟包含輸入一用來加熱待測物體之能量值,並依據以能量 值作為輸入並且以輻射光線之測量結果作為輸出之一熱平 衡模型加以計算而得出此狀態變數。此狀態變數另包含一 待測物體溫度之未知變數。此估計值演算法運算法為卡門 遽波式(Kalman filter )演算法之延仲,係將卡門濾、波式演 算法擴展成一非線性系統而得。 此外,本發明之另一部份並提供一非接觸式溫度測量裝 置,以測量待測物體之溫度,其中包含:測量由#測物體 所發出之輻射光線所需之測量裝置;狀態值之擷取裝置, 以便於依據輕射光線之測量結果(此輻射光線之測量結果 為一含有有效放射率之未知變數的狀態變數)進行估計值 演算法運算·,以取得一狀態變數;溫度計算裝置,以便於 依據運算所得之狀態變數以計算出此待測物體之溫度。 依據本發明所得之溫度測量裝置中,該狀態值之擷取裝 置包含一用來輸入加熱待測物體之能量值的輸入裝置,以 便於根據一具有以能量值為輸入並且以輻射光線之測量結 果為輸出之熱平衡模型來計算此狀態變數。此輻射光線之 測量結果為一狀態變數,且包含一待測物體溫度之未知變 數。此估計值演算法運算可為卡門(Kalman)濾波式演算 法之延伸,係將卡門滤波式演算法擴展成一非線性系統而 得。 再者,本發明之另一部份並提出一半導體熱處理裝置, 可針對半導體基板進行熱處理,其中包含:加熱半導體基 板之加熱裝置;測量半導體基板溫度之輻射溫度計,此輻 -7 - 本纸張尺度適用中國國家標準(CNS) A4規格(210 X 297公釐)528860 A7 B7 V. Description of the Invention (1) Technical Field The present invention relates to a temperature measurement technology using a radiation thermometer, and particularly to a temperature measurement method and device for measuring the temperature of an object to be measured in a non-contact manner. BACKGROUND ART During the heat treatment of a semiconductor wafer, the temperature of the heated semiconductor wafer must be accurately measured. A contact-type temperature measuring device, such as a thermocouple, cannot be used to measure the temperature of a semiconductor wafer because the actual semiconductor circuit will be formed on the surface of the semiconductor wafer. Therefore, on a semiconductor wafer heat treatment apparatus, a radiation thermometer is usually used to measure the temperature of the semiconductor wafer. A radiation thermometer measures the intensity of infrared rays emitted from the surface of an object to be measured, and estimates the temperature of the object to be measured from the measured intensity. The intensity of infrared radiation emitted by a semiconductor wafer varies with the emissivity of the radiating surface of the semiconductor wafer. For example, when an oxide film is formed on the radiating surface of a semiconductor wafer, the emissivity of this oxide film will be different from the emissivity of the semiconductor wafer surface during the initial heating period. Therefore, a measurement method which is not affected by the emissivity of the radiating surface and a measurement method which can modify the emissivity as described below have been proposed. 1) Use a reference light source with a predetermined intensity to irradiate a test object (semiconductor wafer), and measure the intensity of the reference light source reflected by the test object to obtain its actual emissivity. In other words, according to the relationship (emissivity = reflection factor-1), the actual emissivity can be obtained, and the temperature of the object to be measured can be obtained from the emissivity. -4-This paper size is in accordance with Chinese National Standard (CNS) A4 specification (210 X 297 mm) 5. Description of the invention (2 2) Establish two or more effective emissivity states and calculate Solve the equation to get the emissivity. After the emissivity obtained in this way is calculated, the temperature of the object to be measured can be obtained. U.S. Patent No. 5,6660,472 has disclosed one such approach. 3) Form a multiple reflection structure with the object to be measured so that its effective emissivity is close to 1. For example, after a semiconductor wafer to be tested is arranged, the light radiated from the surface of the semiconductor wafer Multiple reflections are generated between the semiconductor wafer and the positioning platform, and the temperature of the object to be measured can be calculated based on the multiple reflections and the intensity of the radiated light. That is, the temperature I is calculated by assuming that an object to be measured is a pseudo-black body (emissivity = 丨). Examples of this method are disclosed in U.S. Patent Nos. 6,174,080 and 6,293,696. There is a problem with the above-mentioned radiation thermometer temperature measurement method, that is, the measurement device has a complicated structure and is expensive. Furthermore, another problem is that the temperature accuracy of the measurement is not high due to the low reproducibility of the results. This is due to the environmental changes that occur when the temperature measurement point is approached and the I measurement system formed over time. The impact of factors such as characteristics changes. For example, the aforementioned method 1) uses a reference light source with a predetermined intensity to illuminate the object to be measured, and the wavelength and intensity of the reference light source need to be accurately controlled. However, a device capable of generating such an accurate reference light source is expensive β In addition, although The aforementioned method 2) establish two or more states of effective emissivity, and maintain the environmental conditions close to the temperature measurement point to achieve 528860 A7 B7 V. Description of the invention (3) A predetermined effective emissivity state. However, it is not easy to maintain the environment near the temperature measurement point. Furthermore, if the characteristics of the measurement system change over time, it is very difficult to maintain accurate temperature measurement under the influence of this change in characteristics over time. In addition, although method 3) forms a multiple reflection structure with the object to be measured, it is necessary to form multiple reflections between the object to be measured and an object having a reflectance equal to 1. However, no object with a reflectance equal to 1 actually exists. Therefore, its calculation must be performed by treating an object with a reflectance not equal to 1 as an object with a reflectance equal to 1, thus causing an unavoidable error. This error will be included in the temperature value obtained by using this calculation method. 0 DISCLOSURE OF THE INVENTION The purpose of the present invention is to propose an improved and effective temperature measurement method to eliminate the aforementioned problems. A more precise object of the present invention is to propose a temperature measurement method and device, so as to accurately measure the temperature of an object to be measured using a non-contact method, without using a complicated hardware structure. In addition, a semiconductor heat treatment apparatus using this temperature measurement method is also proposed. In order to achieve the above-mentioned object, on the one hand, the present invention will propose a non-contact temperature measurement method to measure the temperature of an object to be measured. The steps include: measuring the radiation emitted by the object to be measured; The estimated value made by the measurement results is calculated algorithmically to obtain a state variable; the state variable obtained from this operation is used to calculate the temperature of the object to be measured. Steps to obtain this state variable according to the temperature measurement method obtained by the present invention-6-This paper size applies Chinese National Standard (CNS) A4 specification (210 X 297 mm) 528860 A7 B7 V. Description of the invention (4) Step includes input This state variable is obtained by calculating an energy value for heating the object to be measured, and calculating based on a thermal balance model that takes the energy value as an input and the measurement result of the radiated light as an output. This state variable also contains an unknown variable of the temperature of the object to be measured. This estimated algorithm is an extension of the Kalman filter algorithm, which is obtained by extending the Kalman filter and wave algorithm to a non-linear system. In addition, another part of the present invention also provides a non-contact temperature measuring device for measuring the temperature of the object to be measured, which includes: a measuring device required to measure the radiant light emitted by the #measuring object; and a state value capture Taking a device so as to perform an arithmetic calculation of the estimated value according to the measurement result of light rays (the measurement result of the ray is an unknown variable with an effective emissivity) to obtain a state variable; a temperature calculation device, In order to calculate the temperature of the object to be measured according to the state variables obtained from the operation. In the temperature measuring device obtained according to the present invention, the state value acquisition device includes an input device for inputting an energy value for heating the object to be measured, so as to facilitate a measurement result based on an energy value input and radiated light. Calculate this state variable for the output heat balance model. The measurement result of the radiated light is a state variable and includes an unknown variable of the temperature of the object to be measured. This estimated value algorithm operation can be an extension of the Kalman filter algorithm, which is obtained by extending the Kalman filter algorithm to a non-linear system. Furthermore, another part of the present invention also proposes a semiconductor heat treatment device, which can perform heat treatment on semiconductor substrates, including: a heating device for heating the semiconductor substrate; a radiation thermometer for measuring the temperature of the semiconductor substrate, this radiation-7-this paper Standards apply to China National Standard (CNS) A4 (210 X 297 mm)

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528860 A7 B7 五、發明説明(5 ) 射溫度計包含:測量受熱之半導體基板所發出之輻射光線 的測量裝置,依據估計值演算法運算以及輻射光線之測量 結果(此輻射光線之測量結果為一含有有效放射率之未知 變數的狀態變數)而取得一狀態變數之狀態變數擷取裝置; 此外並包含一溫度計算裝置,可根據此運算所得之狀態變 數而計算出此待測物體之溫度;另含有控制裝置,可依據 該溫度計算裝置計算所得之溫度以調節提供至該加熱裝置 之能量。 、 本發明所提出之半導體熱處理裝置中,該狀態變數擷取 裝置包含一輸入用來加熱待測物體之能量值的輸入裝置, 以便於依據一具有以能量值為輸入以及輻射光線之測量結 果(此輻射光線之測.量結果為一狀態變數,且包含一待測 物體溫度之未知變數)為輸出之熱平衡模型來計算此狀態 變數。此估計值演算法運算可為卡門濾波式演算法之延 伸,係將卡門濾波式演算法擴展成一非線性系統而得。 依據上述之發明,待測物體之溫度係由計算並估計其有 效放射率而得,因此無須實際測量其有效放射率。也就是 說,待測物體之溫度可僅由測量此待測物體之輕射強度而 得知。所以,一測量有效放射率之硬體架構變成多餘,因 此可縮減其相對應的製造價格。 有效放射率之估計以及待測物體溫度之計算,係根據一 含有有效放射率及待測物體之溫度為未知變數之熱平衡模 型,進行估計值演算法運算而得。此種演算法輕而易舉即 可建立。此外,執行此具有延伸式卡門濾波演算法之估計 -δ _ 本紙張尺度適用中國國家標準(CNS) Α4規格(210 X 297公釐) 528860528860 A7 B7 V. Description of the invention (5) The radiation thermometer includes: a measuring device for measuring the radiated light emitted by a heated semiconductor substrate, an arithmetic calculation based on an estimated value, and a measurement result of the radiated light (the measurement result of the radiated light is The effective variable emissivity of the unknown variable) to obtain a state variable acquisition device of a state variable; in addition, it includes a temperature calculation device, which can calculate the temperature of the object to be measured according to the state variable obtained by this operation; The control device can adjust the energy provided to the heating device according to the temperature calculated by the temperature calculation device. In the semiconductor heat treatment device provided by the present invention, the state variable capturing device includes an input device for inputting an energy value for heating an object to be measured, so as to facilitate a measurement result based on an energy value input and radiated light ( The measurement result of this radiant ray is a state variable and includes an unknown variable of the temperature of the object to be measured) as the output heat balance model to calculate this state variable. This estimated value algorithm operation can be an extension of the Carmen filter algorithm, which is obtained by extending the Carmen filter algorithm into a non-linear system. According to the above invention, the temperature of the object to be measured is obtained by calculating and estimating its effective emissivity, so there is no need to actually measure its effective emissivity. That is, the temperature of the object to be measured can be known only by measuring the light emission intensity of the object to be measured. Therefore, a hardware architecture for measuring effective emissivity becomes redundant, thereby reducing its corresponding manufacturing price. The estimation of the effective emissivity and the calculation of the temperature of the object to be measured are obtained by performing an algorithm calculation of the estimated value based on a thermal equilibrium model containing the effective emissivity and the temperature of the object to be measured. Such algorithms are easy to set up. In addition, the estimation with the extended Carmen filter algorithm is performed -δ _ This paper size applies to China National Standard (CNS) Α4 specification (210 X 297 mm) 528860

θ 2為圖1中所示之ϋ射溫度計之功能區塊圖; 圖3為此輻射溫度計進行計算時所依據之熱平衡模型的 概要圖解;以及 圖4為顯示估計半導體晶圓之溫度與有效放射率過程之 區塊圖。 f現此發明之最祛槿含 如圖1所不,以下將敘述依據本發明所實現之一半導體 熱處理裝置。 把 圖1為依據本發明所實現之半導體熱處理裝置的剖面 圖。圖1所示之熱處理裝置為一快速熱處理(RTP)裝置, 可針對置於快速熱處理室之半導體晶圓進行快速熱處理。 圖1所7F I熱處理裝置i可經由溫度為1〇〇〇它之鹵素燈2 所發射之熱度射線以快速加熱一半導體晶圓3而達到對於 半導體晶圓3進行熱處理之目的。此齒素燈2附著於一齒 素燈座4。此卣素燈座4具有一電力調節電路(未顯示)可 調整供應至卣素燈2之電功率。 半導體晶圓3竣置於熱處理室5之中。一石英支撐環6佈 置於熱處理室5之内,並且保護環7附著於石英支撐環6之 五、發明説明(θ 2 is a functional block diagram of the radon thermometer shown in FIG. 1; FIG. 3 is a schematic illustration of a thermal balance model on which the radiation thermometer is calculated; and FIG. 4 is a diagram showing the estimated temperature and effective radiation of the semiconductor wafer A block diagram of the rate process. f The present invention contains the most clarified solution. As shown in FIG. 1, a semiconductor heat treatment device implemented according to the present invention will be described below. Fig. 1 is a cross-sectional view of a semiconductor heat treatment apparatus realized according to the present invention. The thermal processing apparatus shown in FIG. 1 is a rapid thermal processing (RTP) apparatus, which can perform rapid thermal processing on a semiconductor wafer placed in a rapid thermal processing chamber. The 7F I heat treatment device i shown in FIG. 1 can heat a semiconductor wafer 3 quickly by using heat rays emitted by the halogen lamp 2 at a temperature of 1000 to achieve the purpose of performing heat treatment on the semiconductor wafer 3. The toothed lamp 2 is attached to a toothed lamp holder 4. The element lamp holder 4 has a power adjustment circuit (not shown) to adjust the electric power supplied to the element lamp 2. The semiconductor wafer 3 is completed in a heat treatment chamber 5. A quartz support ring 6 is placed in the heat treatment chamber 5 and a protective ring 7 is attached to the quartz support ring 6 (fifth, description of the invention)

ΐ二2= 放6:,護广之上而使得半導趙晶I 背面而非其二m:因此’半導想晶圓3之 缺口。 1刀曰面對一底邵平板8而之間形成一小 二是由具有高反射率之材料製成,以反射由受 …又+導組晶圓3所發出之輻射 射回半導體晶圓3,可使得半^t,t 射光線及 =過光.連結至觸溫度計1G之石料 於㈣ =内預定之位置。此石英棒u由半導體晶圓3接= 射光線,並且由,士 χ ι … 由此石奂棒11所吸收之輻射光線會透過光 ,.喊9傳运至輻射溫度計1 〇。 ^射溫度計1()依據透過㈣9所料之料光線可測量 + =體晶圓3所發出之輕射光線強度,並根據此測量結果 :异出丰導體晶圓3之溫度。也就是說’輻射溫度計⑺根 據-f導體晶sm射光線測量結果計算出半導體 之溫度。 、輻射溫度計10將計算所得半導體晶圓3之溫度透過一連 接線1 2傳运至-控制單元i 3。此控制單元工3為控制熱處 理裝置1動作之裝置,並且連接至位於齒素燈座4内部之 電力調節電路上,電力調節電路可依照控制單元丨3所發 出之控制訊號來控制供應給卣素燈2之電功率。因此,利 用鹵素燈2加熱半導體晶圓3之過程可加以控制,並且半 導體晶圓3被加熱或維持於一預定之溫度。 以下將根據圖2,敘述圖1所示之輕射溫度計1 〇。 -10- 本紙張尺度適用中國國家標準(CNS) A4規格(210X297公釐) 528860Twenty two = put 6 :, protect the top and make the semiconducting Zhao Jing I back instead of the second m: so ’semiconductor thinks about the gap of wafer 3. One knife is facing the bottom of the flat plate 8 and a small one is formed between the two. It is made of a material with high reflectivity to reflect the radiation emitted by the ... , Can make half ^ t, t radiate light and = over light. The stone connected to the thermometer 1G is at a predetermined position in ㈣ =. The quartz rod u is connected to the semiconductor wafer 3 to radiate light, and the radiation ray absorbed by the stone rod 11 will pass through the light, and will be transmitted to the radiation thermometer 10. ^ Thermometer 1 () can be measured based on the light transmitted through ㈣9. + = The light intensity of light emitted from the body wafer 3, and according to this measurement result: the temperature of the abundant conductor wafer 3 is different. In other words, the 'radiation thermometer' calculates the temperature of the semiconductor based on the -f conductor crystal sm light measurement results. The radiation thermometer 10 transfers the calculated temperature of the semiconductor wafer 3 to the control unit i 3 through a series of connections 12. This control unit 3 is a device that controls the operation of the heat treatment device 1 and is connected to a power adjustment circuit located inside the toothed lamp holder 4. The power adjustment circuit can control the supply to the element according to the control signal issued by the control unit 3 Electrical power of lamp 2. Therefore, the process of heating the semiconductor wafer 3 using the halogen lamp 2 can be controlled, and the semiconductor wafer 3 is heated or maintained at a predetermined temperature. The light-emitting thermometer 10 shown in FIG. 1 will be described below based on FIG. 2. -10- This paper size applies to China National Standard (CNS) A4 (210X297 mm) 528860

圖2為圖1所不*輕私、痒—丄 、 m度w十1 〇之功能區塊圖。此輕射溫 度計10具有一輻射光線測量部分20以及一計算部分22。 光纖9連接至輻射光線測量部分2〇,並且半導體晶圓3所 發出之輕射光線經由光纖9傳送至輻射光線測量部分2〇。 此輻射光線測量部分20測量各種項目包括經由光纖9所傳 运足輻射光線強度,並且將測量結果傳送至計算部 22 ° 计算部刀2 2根據輻射光線測量部分2 〇所提供之測量結 果加以计算後可得知半導體晶圓3之溫度。半導體晶圓3 <溫度經由連接線1 2傳送至控制部分丨3。此外,待傳送 至画素燈2之電功率值係由控制部分13經連接線12傳送至 計算部分2 2.。 其次將敘述-作為計算部分22進行溫度計算之基礎的 溫度估計方式。此溫度估計方式之進行是㈣—關於以半 導體晶圓3為待測物體之熱平衡的裝置模型。 圖^為一作為此輻射溫度計丨〇之計算部分2 2進行計算 時所根據之熱平衡模型的概要圖示。 於圖3所示之熱平衡模型中,關於晶圓之熱傳導量可由 下列式(1)加以表示,其中△為一離散之時間間隔。δ〇 = ΔχΛ,Κε^+ε,θ^σΤ:.4^)-柳0 - L (0)-灸2 (Γ/(0 - (0)+^(w(r))} (1)於式(1)中,下標i表示當半導體晶圓3被分割為多個同 -11 -FIG. 2 is a functional block diagram of light, private, itching, 丄, m degree w 10 in FIG. 1. This light thermometer 10 has a radiant ray measuring section 20 and a calculating section 22. The optical fiber 9 is connected to the radiant ray measurement section 20, and the light rays emitted from the semiconductor wafer 3 are transmitted to the radiant ray measurement section 20 via the optical fiber 9. The radiant ray measurement section 20 measures various items including the intensity of radiant ray transmitted through the optical fiber 9 and transmits the measurement results to the calculation section 22 ° The calculation section knife 2 2 calculates based on the measurement results provided by the radiant ray measurement section 2 〇 The temperature of the semiconductor wafer 3 can be obtained later. The semiconductor wafer 3 < temperature is transmitted to the control section 3 via the connection line 12. In addition, the electric power value to be transmitted to the pixel lamp 2 is transmitted from the control section 13 to the calculation section 22 via the connection line 12.2. Next, a description will be given of a temperature estimation method on which the calculation section 22 performs temperature calculation. This temperature estimation method is carried out ㈣—a device model regarding the thermal balance of the semiconductor wafer 3 as the object to be measured. Fig. ^ Is a schematic illustration of a heat balance model according to which the calculation part 22 of the radiation thermometer is calculated. In the heat balance model shown in Fig. 3, the heat conduction amount of the wafer can be expressed by the following formula (1), where Δ is a discrete time interval. δ〇 = ΔχΛ, κε ^ + ε, θ ^ σΤ: .4 ^)-willow 0-L (0) -moxibustion 2 (Γ / (0-(0) + ^ (w (r))) (1) In equation (1), the subscript i indicates that when the semiconductor wafer 3 is divided into multiple identical -11-

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線 528860 A7Line 528860 A7

:圓=’半導體晶圓3之第i個元素’且A; 素域。kJk2為有關熱傳導之係數,且。為史蒂固二 ::Γ吊數。、此外’ ε 1代表鹵素燈座4之反射器4 a的放 ,且ε2代表底部平面8表面之放射率,該表面舞 :導,晶圓3。為考慮面對齒素燈2之半導體晶圓3表 囬的多重反射時之有效放射率,% ^則為考慮面對底部 平板8〈半導體晶圓3表面的多重反射時之有效放射率。 再者於式(1)中,u為鹵素燈之輸入(例如,傳送至鹵 素燈之電流),並且由卣素燈2傳送至半導體晶圓3之輕射 光線能量係由-函數g(u)加以表示。式⑴中之第一項代 表由半導體晶圓之前後兩面所散逸之熱#,第二項則代表 元素卜1與元素i+1之間的纟交換量,而第三項則表示由 鹵素燈所輸入之熱量。 此外,第’元素之溫度係由下列式⑺加以表示,其中 Me!為第i個元素之熱容量。: Circle = 'i-th element of semiconductor wafer 3' and A; prime field. kJk2 is the coefficient of heat conduction, and. For Steguel 2 :: Γ hanging number. In addition, ε 1 represents the placement of the reflector 4 a of the halogen lamp holder 4, and ε 2 represents the emissivity of the surface of the bottom plane 8. The surface dances: the wafer 3. In order to consider the effective emissivity when facing the multiple reflections of the semiconductor wafer 3 of the toothed lamp 2, the% ^ is the effective emissivity when considering the multiple reflections on the bottom plate 8 (the surface of the semiconductor wafer 3). Furthermore, in formula (1), u is the input of the halogen lamp (for example, the current transmitted to the halogen lamp), and the light energy transmitted by the halogen lamp 2 to the semiconductor wafer 3 is given by the function g (u ). The first term in formula ⑴ represents the heat radiated from the front and back sides of the semiconductor wafer #, the second term represents the plutonium exchange amount between element BU1 and element i + 1, and the third term represents the halogen light The heat input. In addition, the temperature of the element 'is represented by the following formula ⑺, where Me! Is the heat capacity of the element i.

Ti (t+i) = (t)+AQ/M〇i (2) 另卜由輻射/m度计所測得之輕射光線強度係利用普朗 克疋律經由下列式(3)加以表示,其中h為普朗克常數,c 為光速,kB為波茲曼常數,而λ為測量所得之波長。 y(r) = ^ 2tt/ic202 A5expi_^_Vl ⑶Ti (t + i) = (t) + AQ / M〇i (2) In addition, the light ray intensity measured by the radiation / mmeter is expressed by the following formula (3) using Planck's law , Where h is the Planck constant, c is the speed of light, kB is the Bozman constant, and λ is the wavelength obtained from the measurement. y (r) = ^ 2tt / ic202 A5expi _ ^ _ Vl ⑶

\kBxm J 根據上述之式(1),(2),及(3),計算半導體晶圓溫度 L.__ -12- 仏張尺度適財S时辟(品^知蕭297公石 五、發明説明(1〇 ) 並估計有效放射率之延伸式卡門攄波法可由設定半導體晶 圓前後兩面之有效放射率心與t為未知數以及設定此半 ;胆·日日圓之溫度為一狀態變數來加以設計。 圖4為顯示一估計實際半導體晶圓之有效放射率與溫度 之過程的區塊圖。 此卡門濾波法為一線上資料演算法,可根據丨)一產生 訊號之系統的動態特性,2)一雜訊之統計特性,3)關於 初始值之先前資訊以及隨時間流逝所獲得之觀察資料以 連續提供一系統狀態之最小平方估計值。 假設一線性系統之差分方程可由如下之式(4)表示,其 中u為輸入,y為輸出,X表示狀態。 ^ = + B(u( + w( yt^Ctxt+vt (4) ,據卡門濾波法之一狀態x的估計值χ Λ可由下列式(5 ) (5) 其中t為離散時間系統中之一時間點,而為一有 卡門增益之數值。此卡n增益Kt可由下列式⑷,使用 估計值誤差(Xt_〜)之共變數分析矩陣Pt/,丨,[Xt_x〜t 乂及加入輸出訊號之雜訊的共變數分析矩1 R t ’來加以表示。 (6) _______ -13·\ kBxm J Calculate the semiconductor wafer temperature L .__ -12- according to the formulas (1), (2), and (3) above. Explanation (10) The extended Carmen wave method that estimates the effective emissivity can be set by setting the effective emissivity center and t of the front and back sides of the semiconductor wafer as unknown and setting this half; the temperature of bile and yen is a state variable. Design. Figure 4 is a block diagram showing the process of estimating the effective emissivity and temperature of an actual semiconductor wafer. This Carmen filtering method is an online data algorithm, which can be based on the dynamic characteristics of a system that generates signals, 2 ) The statistical characteristics of a noise, 3) the previous information about the initial value and the observation data obtained over time to continuously provide a least square estimate of the state of the system. Assume that the difference equation of a linear system can be expressed by the following formula (4), where u is the input, y is the output, and X is the state. ^ = + B (u (+ w (yt ^ Ctxt + vt (4), according to one of the Carmen filtering methods, the estimated value of the state x χ Λ can be expressed by the following formula (5) (5) where t is one of the discrete-time systems At the time point, it is a value with Carmen gain. This card n gain Kt can be expressed by the following formula ⑷, using the common variable analysis matrix Pt /, 丨, [Xt_x ~ t 乂 of the estimated value error (Xt_ ~) and adding the output signal The common variable analysis moment of noise is expressed as 1 R t '. (6) _______ -13 ·

本紙張尺度適财 S S M^HCNS) A4^(21〇X297^T 528860 A7 B7 五、發明説明(11 )This paper is suitable for S S M ^ HCNS) A4 ^ (21〇X297 ^ T 528860 A7 B7 V. Description of the invention (11)

卡門濾波法之設計係依據類似式(4)之線性系統。一延 伸式卡門濾波法係於操作點附近採取線性化步驟,以便於 將卡門濾波法延伸為一非線性系統。也就是說,卡門濾波 法可針對一具有已知操作特性之系統進行設計。然而,當 包含未知常數時,此未知數值將被重新選為變數以建立此 系統之差分方程,於是可使用此延伸式卡門滤波演算法設 計一合適之濾波方法。 當一系統可用包含一未知數值0之如下方程式來加以表 示時,於此系統之差分方程(7 )中之一狀態變數X可由z加 以取代,如式(8 )所示,以得到式(9 )。 ^r+l = Α(θ )Xf + Β(β )Ug + W( = + VfThe design of the Carmen filter method is based on a linear system similar to equation (4). An extended Kalman filter method takes a linearization step near the operating point in order to extend the Kalman filter method to a nonlinear system. That is, the Carmen filter method can be designed for a system with known operating characteristics. However, when an unknown constant is included, the unknown value will be reselected as a variable to establish the differential equation of the system, and then an extended filtering method can be designed using the extended Carmen filter algorithm. When a system can be represented by the following equation containing an unknown value 0, one of the state variables X in the differential equation (7) of this system can be replaced by z, as shown in equation (8) to obtain equation (9 ). ^ r + l = Α (θ) Xf + Β (β) Ug + W (= + Vf

(B)(B)

rA(G)x( + B(9)ut , ΘrA (G) x (+ B (9) ut, Θ

於是,狀態值X (例如,半導體晶圓之溫度)可經由計算 並對式(9)進行延伸式卡門濾波演算法以估計此未知數值 Θ而得。 應注意上述式(4 )中之係數A,B,與c係依據使用一黑 體爐之各項實驗比較結果所決定。 如上所述,於目前之實體中,此半導體晶圓3之溫度可 -14 -Therefore, the state value X (for example, the temperature of the semiconductor wafer) can be obtained by calculating and performing an extended Carmen filter algorithm on equation (9) to estimate the unknown value Θ. It should be noted that the coefficients A, B and c in the above formula (4) are determined based on the results of various experimental comparisons using a black body furnace. As mentioned above, in the current entity, the temperature of this semiconductor wafer 3 can be -14-

528860 A7 B7 五、發明説明(12 ) 於此輻射溫度計1 0之計算部分2 2,使用一延伸式卡門濾 波法以估計此半導體晶圓3之放射率,而加以取得。 當依據目前之實體使用一輻射溫度計測量一加熱至約 600°C且加熱速率為l〇°C/sec之裸露晶圓的溫度時,_使用 一熱電偶所測得溫度之誤差約為土 l〇°C。 如上所述,目前實體内之輻射溫度計僅利用測量輻射光 線之強度,即可獲得十分接近實際溫度之一溫度值。因 此,此輻射溫度計之結構可被簡化,並且此韓射溫度計能 以傳統上實際測量放射率之輻射溫度計的造價約1 / 4之價 格加以製造。 本發明不受限於明確揭示之實體,任何可能之變異與更 動將不超出本發明之範圍外。 __-15- 本紙張尺度適用中國國家標準(CNS) A4規格(210X297公釐)528860 A7 B7 V. Description of the invention (12) In the calculation part 22 of the radiation thermometer 10, an extended Carmen filter method is used to estimate the emissivity of the semiconductor wafer 3 and obtain it. When using a radiation thermometer to measure the temperature of a bare wafer heated to about 600 ° C and a heating rate of 10 ° C / sec according to the current entity, the error of the temperature measured by using a thermocouple is about ± 1 0 ° C. As mentioned above, the current radiation thermometer in the entity can obtain a temperature value which is very close to the actual temperature only by measuring the intensity of the radiation. Therefore, the structure of the radiation thermometer can be simplified, and the radiation thermometer can be manufactured at a price of about 1/4 that of a conventional radiation thermometer that actually measures emissivity. The invention is not limited to the entities explicitly disclosed, and any possible variations and modifications will not exceed the scope of the invention. __- 15- This paper size applies to China National Standard (CNS) A4 (210X297 mm)

Claims (1)

528860 A8 B8 C8 申請專利範圍 •—種溫度測量方法,以非接觸方式測量一待測物體溫 度,其步驟包含: 測量由待測物體所發出之輻射光線; 依據此輻射光線之測量結果進行估計值演算法運算, 以取得一狀態變數,而該狀態變數包含為未知變數之有 效放射率;以及528860 A8 B8 C8 Patent Application Scope • A temperature measurement method that measures the temperature of an object to be measured in a non-contact manner, the steps include: measuring the radiation emitted by the object to be measured; and estimating the value based on the measurement results of this radiation Algorithm to obtain a state variable that includes the effective emissivity of an unknown variable; and 裝 依據此運算所得之狀態變數,計算出此待測物體之溫 度。 2·如申請專利範圍第1項之溫度測量方法,其中取得狀態 變數之步驟包含輸入一用來加熱待測物體之能量值,並 根據一熱平衡模型計算出此狀態變數,該熱平衡模型具 有一旎I值之輸入以及一輻射光線測量結果之輸出,此The temperature of the object to be measured is calculated based on the state variables obtained from this operation. 2. If the temperature measurement method according to item 1 of the scope of patent application, wherein the step of obtaining a state variable includes inputting an energy value for heating the object to be measured, and calculating the state variable according to a thermal equilibrium model, the thermal equilibrium model has a The input of I value and the output of a ray measurement result. 輻射光線測量結果為一另具有待測物體溫度為一未知變 數之狀態變數。 3·=申請,利範圍第1項之溫度測量方法,其中估計值演 算夬運算係由延伸^門濾波法而形成一非線性系統所 得之一延伸式卡門濾波演算法。 4.:種溫度測量裝置’以非接觸方式測量一待測物體之溫 度’其中包含: 測!待測物體所發出之輻射光線的測量裝置; 根據輻射光線測量結果以進行估計i演算法運算,以 取#狀怨變數之狀態值擷取裝置,而該狀態變數包含 為未知變數之有效放射率;以及 口 根據此運算所得之狀態變數以計算出此待測物體溫度 -16 -The measurement result of the radiant ray is another state variable with the temperature of the object to be measured being an unknown variable. 3 · = Application, the temperature measurement method of item 1 of the profit range, wherein the estimated value calculation 夬 operation is an extended Carmen filter algorithm obtained by extending the ^ gate filtering method to form a nonlinear system. 4 .: A type of temperature measuring device ‘measures the temperature of an object to be measured in a non-contact manner’, which includes: Measure! Measuring device for radiated light emitted from the object to be measured; an estimation algorithm calculation is performed according to the measurement result of the radiated ray, and a state value acquisition device for obtaining a #like complaint variable, and the state variable includes an effective emissivity of an unknown variable ; And calculate the temperature of the object to be measured according to the state variables obtained by this operation -16- 528860 六 5. 6. 7. A8 B8 C8 D8申請專利範圍 之溫度計算裝置。 如申請專利範圍第4項之溫度測量裝置,其中該狀態值 擷取裝置包含一用來輸入加熱待測物體之能量值的輸入 裝置,並根據一熱平衡模型來計算此狀態變數,且該熱 平衡模型具有一能量值之輸入以及輻射光線測量結果之 輸出,而此輻射光線測量結果為另具有一待測物體溫度 為一未知變數之狀態變數。 如申請專利範圍第4項之溫度測量裝置,其中估計值演 算法運算係由延伸一卡門濾波法而形成一非線性系統所 得之一延伸式卡門濾波演算法。 一種半導體熱處理裝置,可針對半導體基板進行熱處 理,其中包含: 加熱半導體基板之加熱裝置; 測量半導體基板溫度之輻射溫度計,而此輻射溫度計 包含測量由受熱之半導體基板所發出之輕射光線的測量 裝置,以及一狀態變數擷取裝置,可根據此輻射光線測 量結果以進行估計值演算法運算以取得一狀態變數,而 該狀態變數包含為未知變數之有效放射率,另包含一溫 度計算裝置,可依據運算所得之狀態變數計算出待測物 體之溫度;以及 控制裝置,能依據該溫度計算裝置所計算出之溫度而 調節傳送至該加熱裝置之能量。 如申請專利範圍第7項之半導體熱處理裝置,其中該狀 態變數擷取裝置包含輸入一用來加熱待測物體之能量值 -17- 本紙張尺度適用中國國家標準(CNS) A4規格(210X297公釐) 528860 六 A8 B8 C8 D8 申請專利範圍 的輸入裝置,並根據一具有以能量值為輸入以及韓射光 線之測量結果為輸出之熱平衡模型,以計算出此狀態變 數,而該輻射光線測量結果為一另具有待測物體之溫度 為一未知變數之狀態變數。 如申請專利範圍第7項之半導體熱處理裝置,其中估計 值演算法運算係由延伸一卡門濾波法而形成一非線性系 統所得之一延伸式卡門濾波演算法。 -18- 本紙張尺度適用中國國家標準(CNS) A4規格(210X297公釐)528860 6 5. 6. 7. A8 B8 C8 D8 Patented temperature calculation device. For example, the temperature measurement device of the fourth scope of the patent application, wherein the state value acquisition device includes an input device for inputting an energy value for heating the object to be measured, and calculates the state variable according to a thermal equilibrium model, and the thermal equilibrium model It has an input of an energy value and an output of the measurement result of the radiant ray, and the measurement result of the radiant ray is another state variable having an unknown variable temperature of the object to be measured. For example, the temperature measurement device according to item 4 of the patent application, wherein the estimated value algorithm operation is an extended Carmen filter algorithm obtained by extending a Carmen filter method to form a nonlinear system. A semiconductor heat treatment device that can perform heat treatment on a semiconductor substrate includes: a heating device for heating the semiconductor substrate; a radiation thermometer for measuring the temperature of the semiconductor substrate, and the radiation thermometer includes a measurement device for measuring light rays emitted from the heated semiconductor substrate And a state variable acquisition device, which can perform an estimation algorithm calculation to obtain a state variable based on the radiant ray measurement result, and the state variable includes an effective emissivity of an unknown variable, and further includes a temperature calculation device, which can The temperature of the object to be measured is calculated according to the state variables obtained from the calculation; and the control device can adjust the energy transmitted to the heating device according to the temperature calculated by the temperature calculation device. For example, the semiconductor heat treatment device for item 7 of the patent application scope, wherein the state variable extraction device includes inputting an energy value for heating the object to be measured. -17- This paper size applies to China National Standard (CNS) A4 specification (210X297 mm). ) 528860 Six A8 B8 C8 D8 patent-applied input devices, and based on a thermal balance model that takes an energy value as input and a measurement result of Korean rays as output, to calculate this state variable, and the measurement result of the radiant light is Another state variable has the temperature of the object to be measured is an unknown variable. For example, the semiconductor heat treatment device of the seventh patent application range, wherein the estimated value arithmetic operation is an extended Carmen filter algorithm obtained by extending a Carmen filter method to form a non-linear system. -18- This paper size applies to China National Standard (CNS) A4 (210X297 mm)
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TWI618921B (en) * 2013-03-15 2018-03-21 海特根微光學公司 Non-contact thermal sensor module

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