Patent Publication Number: US-2009233371-A1

Title: Method of determining cyclic carbon content in sample and method of determining content of cyclic carbon material in sample

Description:
TECHNICAL FIELD 
     The present invention relates to a method for determining the cyclic carbon content in a sample and a method for determining the content of cyclic carbon materials in a sample. 
     BACKGROUND ART 
     In recent years, the concept of the biomass degree (cyclic carbon content) has spread on account of the trend of regulating emission of carbon dioxide into the atmosphere. The biomass degree is a measure for evaluating a substance in view of suppressing an increase of carbon dioxide in the atmosphere. Specifically, carbon contained in a sample is grouped into “cyclic carbon” in the food chain cycle in the biosphere and “buried carbon” of fossil fuel origin such as petroleum, coal, and the like. A substance with a high cyclic carbon content is regarded as a material with a high biomass degree. It is thought that a material with a high biomass degree does not contribute much to an increase of carbon dioxide, since such a material is only returned to the atmospheric recycle system in the case of conversion into carbon dioxide by burning. 
     Specifically, a substance originating from animals and plants such as polylactic acid is regarded as having a 100% biomass degree. Such a substance is not involved in emission of carbon dioxide generated from buried carbon. On the other hand, a polyolefin resin, a polyester resin, and the like of which the raw material is a fossil fuel is regarded to have a biomass degree of 0%. 
     A polymer, such as polylactic acid, which is a biomass component is generally brittle. Thus, when using the polymer as a material, the polymer is often used as a composition containing a resin component or inorganic additive of fossil fuel origin to impart plasticity and rigidity. Since various biomass components which do not always have a high biomass degree are added, the compositions actually used have different biomass degrees. 
     For this reason, development of a simple and convenient method for measuring the amount of materials using cyclic carbon (biomass components) in a sample (biomass material) has been desired. 
     As a technology using a  14 C concentration, Patent Document 1 discloses a method for measuring a rate of biodegradation of a non-natural organic compound by measuring the concentration of  14 C in carbon dioxide produced by biodegradation in the presence of a biodegradation culture medium of the non-natural organic compound by accelerator mass spectrometry and determining the rate of biodegradation from the reduction rate of the  14 C concentration from the  14 C concentration of modern carbon. Patent Document 2 also discloses, in the biodegradation of a non-natural organic compound in the presence of a biodegrading culture medium, a method of measuring the concentration of a radioactive carbon isotope  14 C in the biodegrading culture medium and determining the biodegradation ratio of the non-natural organic compound from the difference between the measured concentration of  14 C and the concentration of  14 C in modern carbon. 
     However, the techniques disclosed by Patent Document 1 and Patent Document 2 relate to a method of measuring the rate of biodegradation of non-natural organic compounds. No specific method of measuring the content of cyclic carbonaceous material has been known. 
     [Patent Document 1] JP-A-2003-185634 
     [Patent Document 2] JP-A-2004-198239 
     The invention has been achieved in view of this situation. An object of the invention is to provide a method for determining a more accurate content of cyclic carbon in a sample by correcting the effect of additives contained in the sample and further provide a simple and convenient method for determining the content of a material using cyclic carbon (biomass components) in a sample. 
     DISCLOSURE OF THE INVENTION 
     The invention provides the following methods for determining the cyclic carbon content in a sample and a method for determining the content of cyclic carbon material in a sample. 
     1. A method for determining a cyclic carbon content in a sample comprising: 
     burning a sample to generate carbon dioxide gas and measuring a total  14 C amount in the sample from the carbondioxide gas; 
     burning the sample to confirm presence or absence of ash; 
     when ash is present, treating the sample with an acid to generate carbon dioxide gas and measuring a  14 C amount from the carbon dioxide gas; 
     correcting the total  14 C amount in the sample with the  14 C amount measured by the acid treatment; and 
     calculating a cyclic carbon content in the sample from the corrected total  14 C amount in the sample. 
     2. The method according to 1, wherein the  14 C amount measured by the acid treatment is taken as a  14 C amount originating from carbonate salt contained in the sample; and 
     a cyclic carbon content of the portion excluding the carbonate salt of the sample and/or a cyclic carbon content of the carbonate salt portion are/is calculated. 
     3. The method according to 1, wherein presence or absence of carbonate ester in the sample is measured; 
     when carbonate ester is present, the  14 C amount measured by the acid treatment is taken as a  14 C amount originating from carbonate salt and carbonate ester; 
     a  14 C amount originating from the carbonate salt is calculated from the  14 C amount measured by the acid treatment; and 
     a cyclic carbon content of the portion excluding the carbonate salt of the sample and/or a cyclic carbon content of the carbonate salt portion are/is calculated. 
     4. The method according to 3, wherein the presence or absence of carbonate ester is confirmed by  13 C NMR analysis and IR absorption analysis.
 
5. The method according to 3 or 4, wherein an amount of the carbonate ester is determined by an integrated value obtained by  13 C NMR analysis.
 
6. The method according to 5, wherein an amount of carbon dioxide gas originating from the carbonate ester in the carbon dioxide gas generated by the acid treatment is calculated, based on the amount of the carbonate ester in the sample; and
 
     the cyclic carbon content of the carbonate salt portion is determined by subtracting the amount of carbon dioxide gas originating from the carbonate ester from the amount of carbon dioxide gas generated by the acid treatment. 
     7. The method according to anyone of 1 to 6, wherein the cyclic carbon content in the sample is determined by calculating a cyclic carbon content of the portion excluding carbonate salt of the sample and a cyclic carbon content of the carbonate salt portion, and adding the resultant cyclic carbon contents.
 
8. A method for determining a content of a cyclic carbon material in a sample comprising:
 
     determining a cyclic carbon content in a sample according to the method recited in any one of 1 to 7; and 
     calculating a content (mass %) of a cyclic carbon material from the determined cyclic carbon content in the sample, a total carbon amount of the sample, and a carbon content of each component contained in the sample. 
     According to the method for determining the cyclic carbon content in a sample of the invention, the cyclic carbon content of components of the sample, specifically, the cyclic carbon contents of resin and carbonate salt can be determined. 
     In addition, according to the method for determining content of a material containing cyclic carbon in a sample, it is possible to measure the mass percent (wt %) of a biomass component in the sample. Furthermore, it is possible to measure the mass fraction (wt %) of eggshell and the like, which are a biomass component, among carbonate salts in the biomass component. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIG. 1  is a flow chart of the method of measuring the cycle carbon content in a sample, excluding carbonate salt, of the invention. 
         FIG. 2  is a schematic drawing showing an example of the device converting a solid sample into carbon dioxide. 
     
    
    
     BEST MODE FOR CARRYING OUT THE INVENTION 
     The method for determining the cyclic carbon content of the invention comprises the following steps: 
     (A) the step of measuring the total amount of  14 C in a sample from carbon dioxide gas generated by burning the sample,
 
(B) the step of identifying the presence or absence of ash when the sample is burnt,
 
(C) the step of measuring the amount of  14 C in carbon dioxide gas generated by treating the sample with an acid, when ash is confirmed to be present, and
 
(D) the step of correcting the total  14 C amount in the sample with the  14 C amount determined by the acid treatment, and calculating the cyclic carbon content in the sample from the corrected total  14 C amount in the sample.
 
     Each step is described below. 
     A flow chart of the method of measuring the cyclic carbon content in a sample according to the invention is shown in  FIG. 1 . 
     Step (A) 
     In the method of the invention, the sample which is an object to be measured is first burned to convert all the carbon element contained in the sample into carbon dioxide. The conversion into carbon dioxide can be carried out using a device for converting a solid sample into carbon dioxide as shown in  FIG. 2 , for example. 
     In  FIG. 2 , air for burning a sample 11 is fed to a combustor  12  in which the sample is burned. The combustor  12  has a heating means  13 , a quartz tube  14  in which the sample 11 is placed, and a ceramic combustion boat  15 . Carbon dioxide is previously removed from the air which is sent to the combustor  12 . Carbon dioxide can be removed by, for example, passing the air through a trap  16  of a basic substance such as an aqueous solution of sodium hydroxide. 
     Combustion of a sample is preferably carried out by heating the sample 11 at 900 to 1,000° C. in the combustor  12 , while introducing air free from carbon dioxide. Almost all carbon in the sample can be converted into carbon dioxide by burning the sample at temperatures in this range. 
     The combustion gas containing carbon dioxide generated from the sample is sent to a trap  17  containing a basic substance such as an aqueous solution of sodium hydroxide, by which the carbon dioxide is collected. 
     The total  14 C concentration of the sample is measured from the collected carbon dioxide. The total  14 C concentration can be measured using an accelerator mass spectroscopy meter, for example. 
     As an international notation of  14 C concentration, a value calculated on the basis of the  14 C concentration in the cyclic carbon in the year 1950 as 100% is referred to as pMC (percent Modern Carbon). The concentration of radiocarbon isotope  14 C in carbon dioxide in the atmosphere has changed from 1950, and the  14 C carbon concentration by 2005 was in a range of 110 to 111%. 
     In this step, it is a preferable to measure the total carbon amount (TOC) in a sample. It is possible to calculate the content of a biomass component (mass %) in a sample by measuring the total carbon amount. 
     The total carbon amount can be determined by measuring the carbon dioxide concentration absorbed by a basic compound in a trap by elementary analysis and multiplying the mass of the basic compound in the trap by the carbon dioxide concentration. 
     Step (B) 
     In this step, the presence or absence of ash when the sample is burned is identified. In order to save measuring time, it is preferable to measure the ash produced by burning in the step (A). 
     The presence of ash in this step indicates that the sample contains an inorganic additive such as a filler. In such a case, it is necessary to correct the effect of the inorganic additive when measuring the cyclic carbon content. 
     When no ash is detected in this step, indicating that the sample does not contain an inorganic additive, the cyclic carbon content can be calculated based on the total  14 C concentration measured in the step (A). Specifically, the cyclic carbon content in the sample can be calculated according to the following formula (1). 
       Cyclic carbon content of sample(%)=(Total  14 C concentration)/110  (1) 
     wherein the  14 C concentration in the cyclic carbon in 2005 is assumed to be 110. 
     Step (C) 
     When ash is confirmed to be present, the  14 C concentration is measured from the carbon dioxide gas generated by treating the sample with an acid. The  14 C concentration measured here is the concentration of  14 C originating mainly from salt of carbonic acid (carbonate salt) and/or ester of carbonic acid (carbonate ester) contained in the sample. Therefore, the cyclic carbon content in a sample excluding the effect of carbonate salt and the like can be calculated by correcting the total  14 C concentration of the sample measured in the step (A) with the  14 C concentration measured in this step. 
     As an example of the method for treating the sample, a method of charging a flask with a prescribed amount of the sample, tightly sealing the flask, replacing the inside of the flask with nitrogen or the like to remove carbon dioxide, and adding an acid to collect generated carbon dioxide can be given. Concentrated hydrochloric acid, phosphoric acid, and the like can be used as the acid for treating the sample. 
     The  14 C concentration of the sample is measured from the collected carbon dioxide. The same as in the step (A), the  14 C concentration can be measured using an accelerator mass spectroscopy meter. 
     Similarly to the step (A), it is preferable to measure the total carbon amount (TOC) in the sample also in this step. 
     Step (D) 
     In this step, the total  14 C amount in the sample is corrected with the  14 C amount determined by the acid treatment, and the cyclic carbon content in the sample is calculated from the corrected total  14 C amount in the sample. As the method of correction, the following method (1) and method (2) can be given. 
     (1) A Correcting Method by Assuming the Amount of  14 C Measured by the Acid Treatment to be the Value of the Carbon Originating from Carbonate Salt 
     In many cases, the sample to measure the cyclic carbon content is considered to be a composition comprising biomass components and additives (non-biomass components) which are added as a filler or a reinforcing material. Among the additives, the main components generating carbon dioxide gas by the acid treatment are thought to be carbonate salt represented by calcium carbonate and carbonate ester such as polycarbonate. Therefore, in the case in which carbonate ester is not added or added only in a very small amount, or in the case in which it is judged that the degree of acid decomposition is small and carbon dioxide originating from carbonate ester is generated in a small amount, the cyclic carbon content of the portion excluding carbonate salt in the sample and/or the cyclic carbon content of the carbonate salt portion in the sample can be calculated on the basis of the above assumption. 
     Specifically, the total  14 C concentration (pMC: B %) of the samples, the total carbon amount (P g) of the samples, the amount of  14 C measured by the acid treatment (pMC: D %), the total carbon amount (Q g) measured by the acid treatment, and the  14 C concentration (pMC: F %) of the sample excluding the carbonate salt, measured in each of the steps mentioned above, have the relationship of the following formula (2). 
       ( P−Q ) F+Q×D=P×B   (2) 
     Therefore, the  14 C concentration (pMC: F %) of the sample excluding carbonate salt is shown by the following formula (3). 
         F (%)=( P×B−Q×D )/( P−Q )  (3) 
     From the  14 C concentration (pMC: F %) of the portion excluding carbonate salt in the sample, the cyclic carbon content of this portion can be calculated by the following formula (4). 
       Corrected cyclic carbon content of sample(%)=( F× 100)/110  (4) 
     (2) A Correcting Method by Assuming the Amount of  14 C Measured by the Acid Treatment to be the Value of the Carbon Originating from Carbonate Salt and Ester 
     In the case in which a large amount of carbonate ester is added or in the case in which a large amount of carbon dioxide is generated due to abundant acid decomposition of the carbonate ester, the cyclic carbon content of the portion excluding carbonate salt in a sample can be more accurately calculated than (1) on the basis of the above assumption. 
     In this method, the presence or absence of carbonate ester is first identified. 
     The presence or absence of carbonate ester can be identified by  13 C NMR and IR absorption, for example. Specifically, absorbance between 150 ppm to 180 ppm in a spectrum obtained by  13 C NMR analysis (solid  13 C NMR) is measured. Further, absorbance between 1,600 to 1,800 cm −1  in a spectrum obtained by IR analysis is measured. When the absorption is confirmed in both measurements, carbonate ester is judge to be present. 
     The amount of the carbonate ester in a sample can be determined by preparing a standard compound calibration curve and applying the NMR integrated value obtained by the above-mentioned measurement. 
     The amount of  14 C originating from carbonate salt is calculated from the amount of  14 C measured by the acid treatment. 
     Specifically, the  14 C concentration (pMC: E′%) of carbonate salt can be calculated from the  14 C amount (pMC: D %) measured by the acid treatment, the total carbon amount measured by the acid treatment [R=S+T(g)], the total carbon amount originating from carbonate salt (S g), and the total carbon amount originating from carbonate ester (T g) according to the following formula (5). 
         E ′(%)= D ( S+T )/ S   (5) 
     The  14 C concentration (pMC: F′%) of the sample excluding carbonate salt can be calculated from the total  14 C concentration (pMC: B %) of the sample measured in the step (A), the total carbon amount of the sample (U g), the  14 C concentration (pMC: E′%) of carbonate salt, and the total carbon amount originating from carbonate salt (S g) according to the following formula (6). 
         F ′(%)=( U×B−E′×S )/( U−S )  (6) 
     From the  14 C concentration (pMC: F′%) of the portion excluding carbonate salt in the sample, the cyclic carbon content of this portion can be calculated by the following formula (7). 
       Cyclic carbon content of the portion excluding carbonate salt in the sample(%)=( F′× 100)/110  (7) 
     The total carbon amount originating from carbonate salt (S g) and the total carbon amount originating from carbonate ester (T g) can be estimated from the total carbon amount measured by the acid treatment [R=S+T(g)] and the amount of carbonate ester in the sample. 
     For example, using standard samples containing polylactic acid as a polymer originating from animals and plants, polycarbonate (PC) as carbonate ester, and calcium carbonate (CaCO 3 ) as carbonate salt, in which the ratio of these components is changed, the amount of carbon dioxide originating from PC is determined from the amount of carbon dioxide generated when the standard samples are treated with an acid and the calculated amounts of carbon dioxide originating from calcium carbonate. 
     The amount of change K (=amount of carbon dioxide originating from PC/amount of PC) can be determined by measuring the amount of carbon dioxide originating from PC, while changing the amount of PC and maintaining the amount of calcium carbonate constant, plotting the amount of PC along the horizontal axis and the amount of carbon dioxide originating from PC along the vertical axis, and determining the inclination (the amount of change K) of the resulting line in the chart. 
     The amount of change β (=amount of carbon dioxide originating from PC/amount of PC·amount of calcium carbonate) can be determined by obtaining several points of the amount of change K in the same way for samples with different amounts of calcium carbonate, plotting the amount of calcium carbonate along the horizontal axis and the amount change K along the vertical axis, and determining the inclination (the amount of change β of the resulting line in the chart. The amount of carbon dioxide originating from carbonate ester can be calculated by applying the amount of change β, the amount of PC, and the amount of calcium carbonate to the following formula (8). 
       Amount of carbon dioxide of carbonate ester (wt %)=β×amount of  PC  (wt %)×amount of calcium carbonate (wt %)  (8) 
     Since the rate of acid decomposition of PC in the standard samples is small, the total carbon amount measured by acid treatment [R=S+T(g)] is assumed to be the amount originating from decomposition of calcium carbonate. Based on this assumption, the amount (wt %) of calcium carbonate is calculated from the total carbon amount according to the following formula (9). 
       Amount of calcium carbonate (wt %)= R× 100 ×M   CaCO3   /Mc   (9) 
     wherein M CaCO3  is the molecular weight of calcium carbonate (100) and Mc is the elemental weight of carbon (12). 
     The amount of carbon dioxide originating from carbonate ester (wt %) in the carbon dioxide generated in the acid treatment can be calculated by assigning the resulting amount of calcium carbonate to the formula (8). The total carbon amount originating from carbonate ester (Tg=amount of carbon dioxide originating from carbonate ester×12/44) can be determined therefrom, and then, the amount of total carbon originating from carbonate salt (Sg=R−T) can be calculated. 
     As explained above, according to the invention, for the cyclic carbon content (pMC: %) of a sample, the cyclic carbon content of a sample excluding carbonate salt, that is, the corrected cyclic carbon content, in which the effect of carbon originating from the carbonate salt has been corrected, can be measured. 
     In addition, since the  14 C concentration of the portion of carbonate salt in a sample [pMC: E′%, the amount of  14 C (pMC: D %) measured by acid treatment in the above assumption (1)] is determined in the course of measurement, the cyclic carbon content of the portion of carbonate salt can also be calculated. 
     For example, eggshell and seashell contain calcium carbonate mainly made of cyclic carbon (biomass carbonate salt) and limestone contains calcium carbonate mainly made of non-cyclic carbon (non-biomass carbonate salt). When the pMC of  14 C amount in the biomass carbonate salt in a sample is G %, the following formula (10) applies. 
         14 C concentration of carbonate salt=Carbon amount of biomass carbonate salt (wt %)×G/total carbon amount of carbonate salt (wt %)  (10) 
     The amount of biomass carbonate salt (wt %) can be calculated by calculating the amount of carbon of biomass carbonate salt using this formula and dividing the resulting amount by the carbon content of the carbonate salt (Mc/M CaCO3 ). In addition, in the case of a sample containing several types of biomass carbonate salts, the amount of each biomass carbonate salt in the sample can be calculated if the composition of the carbonate salts in the sample and each pMC are known. 
     According to the invention, the content (mass %) of a cyclic carbon substance (biomass component) in a sample can be calculated from the cyclic carbon content in the sample; the total carbon amount of the sample, or the total carbon content and total carbon amount generated by the acid treatment of the sample; determined by the method mentioned above, and the carbon content of each material contained in the sample. 
     Specifically, the mass % of the biomass component can be calculated by multiplying the cyclic carbon content(%) in the sample by the total carbon amount (g) of the sample to obtain the mass percent (wt %) of cyclic carbon in the sample, and by dividing the result by the carbon content of each material contained in the sample. The carbon content (wt %) of each material can be determined by elementary analysis. For example, the carbon content of polylactic acid is 50 wt %, and the carbon content of cellulose is 44.45 wt %. 
     In addition, even in the case in which two or more biomass components are contained in the sample, the content (mass %) of each component can be calculated if the carbon content (atomic %) and the mixed ratio of each material are known. 
     The measurement methods of the invention will now be described more specifically by examples. 
     EXAMPLES 
     Example 1 
     Treatment 1 
     Measurement of Total Amount of Carbon and Ash in Sample by Combustion 
     A sample was treated using a device for converting a solid sample into carbon dioxide shown in  FIG. 2  to collect carbon dioxide and to identify the presence or absence of ash. 
     1,000.0 mg of the sample was placed on a ceramic board and burned at 900° C. to 1,000° C. for six hours in a quartz tube of a combustor. Air not containing carbon dioxide was supplied to the quartz tube at a rate of 1 to 5 liter/min. Carbon dioxide was previously removed from the air by causing the air to flow through a trap of 1 liter of 2N NaOH aqueous solution. 
     The combustion gas was caused to pass through a trap in which 1 liter of 2N NaOH aqueous solution was used to absorb the total amount of carbon dioxide generated from the sample. The mass of the NaOH aqueous solution which absorbed the carbon dioxide was taken as X (g). 
     After combustion, the weight of ash left on the ceramic board was measured to determine the presence or absence of ash. 
     A part (not more than 10 ml) of the NaOH aqueous solution which absorbed carbon dioxide was subjected to elementary analysis to determine the total carbon concentration (TOC) in the sample. The resulting concentration is indicated as A (wt ppm). 
     Based on the above experiment, the total carbon amount in 1,000 mg of the sample was determined by X×A×10 −3  (mg) and the mass percent of carbon was determined by 10 −4 ×A (wt %) 
     Treatment 2 
     Measurement of Total  14 C Amount (pMC) in Sample 
     Concentrated sulfuric acid was added dropwise to the NaOH aqueous solution which absorbed carbon dioxide in the Treatment 1 to remove carbon dioxide from the solution. In this instance, in order to prevent carbon dioxide in the atmosphere from entering, the atmosphere in the reactor was replaced with nitrogen by a nitrogen gas purge under reduced pressure, and the nitrogen gas purge was continued during the addition of the concentrated sulfuric acid. 
     The  14 C amount (total  14 C amount of the sample: pMC) of the collected carbon dioxide was measured using an accelerator mass spectroscopic meter (“Model 9SDH-2; 3.0 MV; “Tanden Pelletron” manufactured by U.S. NEC Corp.). The resulting value (pMC) is indicated as B %. 
     Treatment 3 
     Determination of Presence or Absence of Carbonate Ester in Sample 
     50.0 mg of the sample was mixed with 50.0 mg of NaCl (diluent). The mixture was pulverized and subjected to IR absorption analysis (diffuse-reflection mode) to confirm the presence or absence of absorption between 1,600 to 1,800 cm −1 . 
     900.0 mg of the sample was mixed with 100 mg of 2-adamantanone (internal standard substance). The mixture was pulverized and subjected to  13 C NMR analysis (solid  13 C NMR) to confirm the presence of absence of absorption between 150 ppm and 180 ppm. 
     When the absorption was confirmed in both measurements, carbonate ester was judged to be present. 
     Treatment 4 
     Measurement of Total Carbon Amount and  14 C Amount (pMC) in Sample by Acid Treatment 
     A flask was charged with 10.000 g of the sample. In this instance, in order to prevent carbon dioxide in the atmosphere from entering, the atmosphere in the flask was replaced with nitrogen by a nitrogen gas purge under reduced pressure, and the nitrogen gas purge was continued during the following dropwise addition of concentrated hydrochloric acid. 15 g of concentrated hydrochloric acid (34 to 36 wt %) was added dropwise to the sample to generate carbon dioxide from the sample. 
     The carbon dioxide was caused to pass through a trap in which 1 liter of 1N NaOH aqueous solution was used to absorb the total amount of carbon dioxide generated from the sample. The mass of the NaOH aqueous solution which absorbed the carbon dioxide was taken as Y (g). 
     A part (not more than 10 ml) of the NaOH aqueous solution which absorbed the carbon dioxide was subjected to elementary analysis to determine the total carbon concentration (TOC) in the sample. The resulting value is indicated as C (wt ppm). 
     Based on the above experiment, the total carbon amount in 10 g of the sample was determined by Y×C×10 −3  (mg) and the carbon dioxide mass percent was determined by Y×C×10 −6  (g)×(M CO2 /Mc)/10 (g)×100 (wt %), that is, (M CO2 /Mc)×10 −5 ×Y×C (wt %). 
     In the same manner as in Treatment 2, the  14 C amount of the collected carbon dioxide ( 14 C amount in the sample when treated with an acid: pMC) was measured. The resulting value (pMC) is indicated as D %. 
     The values obtained in the above Treatments  1  to  4  were calculated for the following cases to calculate the cyclic carbon content(%) of the sample and the mass percent (wt %) of the biomass component contained in the sample. 
     (1) Case in which Ash was not Left in Treatment 1 
     Based on the Treatment 1, the total carbon amount in 1,000 mg of the sample was X×A×10 −3  (mg) and based on the Treatment 2, the total  14 C concentration of the sample was B %. Assuming that the  14 C amount of a sample with a 100% cyclic carbon content is 110(%), the cyclic carbon content H of the sample is shown by the following formula. 
         H (%)= B/ 110×100 
     The mass percent I (wt %) of carbon originating from cyclic carbon (biomass component) can be calculated by the following formula. 
         I (wt %)= X×A× 10 −6   ×H    
     When the biomass component contained in the sample is polylactic acid, since the carbon content according to elementary analysis is 50 wt %, the mass percent of the polylactic acid contained in the sample is as follows. 
       Mass percent of polylactic acid (wt %)= I/ 0.5 
     When the biomass component contained in the sample is cellulose, since the carbon content according to elementary analysis is 44.45 wt %, the amount of the mass percent of the cellulose contained in the sample is as follows. 
       Mass percent of cellulose (wt %)= I/ 0.4445 
     (2) Case in which Ash is Judged to be Present in Treatment 1 and Carbonate Ester is Judged not to be Present in Sample in Treatment 3 
     All carbon dioxide generated in the acid treatment in Treatment 4 can be assumed to be originated from carbonate salt. Therefore, the total carbon amount originating from the carbonate salt in 10 g of the sample is Y×C×10 −3  (mg) and the  14 C concentration originating from the carbonate salt is D %. 
     Referring to the formula (2), the  14 C concentration of the portion excluding carbonate salt of the sample (pMC: F %) can be determined from the total  14 C concentration (pMC: B %) of the sample, the total carbon amount in 1 g of the sample (X×A×10 −3  (mg)), the  14 C concentration originating from carbonate salt (pMC: D %), and the total carbon amount originating from carbonate salt (Y×C×10 −4  (mg): per 1 g of sample) according to the following formula. 
     
       
         
           
             
               F 
                
               
                 ( 
                 % 
                 ) 
               
             
             = 
             
               
                 
                   B 
                   × 
                   X 
                   × 
                   A 
                   × 
                   
                     10 
                     
                       - 
                       6 
                     
                   
                 
                 - 
                 
                   D 
                   × 
                   Y 
                   × 
                   C 
                   × 
                   
                     10 
                     
                       - 
                       7 
                     
                   
                 
               
               
                 
                   X 
                   × 
                   A 
                   × 
                   
                     10 
                     
                       - 
                       6 
                     
                   
                 
                 - 
                 
                   Y 
                   × 
                   C 
                   × 
                   
                     10 
                     
                       - 
                       7 
                     
                   
                 
               
             
           
         
       
     
     From the  14 C concentration (pMC: F %) of the portion excluding carbonate salt of the sample, the cyclic carbon content H′(%) of this portion can be calculated by the following formula. 
         H ′(%)=( F× 100)/110 
     The mass percent I′ of carbon (wt %) originating from cyclic carbon (biomass component) can be calculated by the following formula. 
         I ′ (wt %)=( X×A× 10 −6   −Y×C× 10 −7 )× H′   
     In the same manner as in (1) mentioned above, the amount of each component in the sample is calculated from the carbon content of the biomass component. 
     (3) Case in which Ash is Judged to be Present in Treatment 1 and Carbonate Ester is Judged to be Present in Sample in Treatment 3 
     (a) Determination of Amount of Carbonate Ester in a Sample 
     The amount of carbonate ester in a sample can be determined by preparing a standard compound calibration curve by  13 C NMR analysis (solid  13 C NMR) and applying the NMR integrated value obtained by the above-mentioned measurement. Specifically, using polycarbonate (PC, carbon content: 75.57 wt %) as a conversion substance and 2-admantanone (ADO) as an internal standard substance, integrated values of the chemical shift resulting from C═O of PC (145 to 160 ppm) and the chemical shift resulting from C═O of ADO (210 to 250 ppm) were measured using samples with different ratios of PC and ADO (PC wt %/ADO wt %) to determine the integrated value of PC when the integrated value between 210 to 250 ppm is 100. A chart is prepared by plotting the integrated values of PC along the vertical axis and the ratios of PC to ADO along the horizontal axis to determine the inclination (percentage of change α=integrated value of PC/[PC wt %/ADO wt %]) Then, the amount of carbonate ester (as PC) contained in a sample can be calculated by the following formula. 
       Amount of carbonate salt ( PC  wt %)=integrated value of  PC/α ×( ADO  wt %) 
     (b) Amount of Carbon Dioxide Originating from Carbonate Ester in Carbon Dioxide Generated by Acid Treatment 
     The effect of carbonate ester on the amount of carbon dioxide generated by the acid treatment was estimated by the above-mentioned method. Specifically, using standard samples containing polylactic acid as a polymer originating from animals and plants, polycarbonate (PC) as carbonate ester, and calcium carbonate (CaCO 3 ) as carbonate salt, in which the ratio of these components is changed, the amount of carbon dioxide originating from the carbonate ester was determined from the amount of carbon dioxide generated when the standard sample was treated with an acid and the calculated amount of carbon dioxide originating from calcium carbonate. 
     The amount of change K (=amount of carbon dioxide originating from PC/amount of PC) can be determined by measuring the amount of carbon dioxide originating from PC, while changing the amount of PC and maintaining the amount of calcium carbonate constant, plotting the amount of PC along the horizontal axis and the amount of carbon dioxide originating from PC along the vertical axis, and determining the inclination (the amount of change K) of the resulting line in the chart. 
     The amount of change β (=amount of carbon dioxide originating from PC/amount of PC-amount of calcium carbonate) can be determined by obtaining several points of the amount of change K in the same way for samples with different amounts of calcium carbonate, plotting the amount of calcium carbonate along the horizontal axis and the amount change K along the vertical axis, and determining the inclination (the amount of change β of the resulting line in the chart. 
     The amount of carbon dioxide originating from carbonate ester can be calculated by applying the amount of change β, the amount of PC, and the amount of calcium carbonate to the following formula. 
       Amount of carbon dioxide of carbonate ester (wt %)=β×amount of  PC  (wt %)×amount of calcium carbonate (wt %) 
     Since the rate of acid decomposition of PC in the standard samples is small, the total carbon amount measured by acid treatment (Treatment 4) [Y×C×10 −3  mg/log] is assumed to be the amount originating from decomposition of calcium carbonate. Based on this assumption, the amount (wt %) of calcium carbonate is calculated from the total carbon amount according to the following formula. 
       Amount of calcium carbonate (wt %)=( Y×C× 10 −6/10 )×100 ×M   CaCO3   /Mc   (8) 
     wherein M CaCO3  is the molecular weight of calcium carbonate (100) and Mc is the elemental weight of carbon (12). 
     Then, the amount of carbon dioxide originating from carbonate ester can be calculated as follows. 
       Amount of carbon dioxide originating from carbonate ester (wt %)=( M   CaCO3   /Mc )×10 −5   ×PC×β×Y×C    
     (c) Calculation of Mass Percent of Carbon in Sample Excluding Carbonate Salt 
     The mass percent of carbon dioxide generated from 1 g of a sample by the acid treatment in Treatment 4 is (M CO2 /Mc)×10 −5 ×Y×C (wt %). Based on (b) above, the amount of carbon dioxide originating from carbonate ester is (M CaCO3 /Mc)×10 −5 ×PC×Y×C (wt %). Therefore, the amount of carbon dioxide originating from carbonate salt in the carbon dioxide generated by the acid treatment is (M CO2 −M CaCO3 ×PC×β)×10 −5 ×Y×C/Mc (wt %). 
     Since the mass percent of the total carbon in the sample is 10 −4 ×X×A×(wt %) based on Treatment 1, the mass percent of carbon in the sample excluding carbonate salt is shown by the following formula. 
       Mass percent of carbon=10 −4   ×X×A− 10 −5 ×(1− PC ×β×( M   CaCO3   /M   CO2 )× Y×C  (wt %) 
     (d) Calculation of  14 C Amount Originating from Carbonate Salt 
     The carbon dioxide generated from the acid treatment originates from carbonate salt and ester contained in the sample. Since carbonate ester is a material derived from fossil fuel, the amount of  14 C is 0%. The  14 C amount originating from carbonate salt is indicated as E %. 
     Since the  14 C amount (pMC) of the sample treated with an acid is D %, the amount of  14 C originating from carbonate salt and the amount of  14 C in the sample treated with an acid satisfy the following formula. 
       (CO 2  mass percent originating from carbonate salt/CO 2  mass percent generated during acid treatment)× E=D    
     The following formula is derived from this relationship and the above (c). 
         E (%)= D/{ 1 −PC β×( M   CaCO3   /M   CO2 )} 
     (e) Calculation of  14 C Concentration of Portion Excluding Carbonate Salt from Sample 
     Referring to the formula (2), F′ which is the  14 C concentration (pMC: F′%) of the portion excluding carbonate salt from the sample is shown by the formula. 
     
       
         
           
             
               F 
               ′ 
             
             = 
             
               
                 
                   10 
                   × 
                   B 
                 
                 - 
                 
                   D 
                   × 
                   γ 
                 
               
               
                 10 
                 - 
                 
                   
                     ( 
                     
                       1 
                       - 
                       
                         PC 
                         × 
                         β 
                         × 
                         
                           
                             M 
                             
                               CaCO 
                                
                               
                                   
                               
                                
                               3 
                             
                           
                           / 
                           
                             M 
                             
                               CO 
                                
                               
                                   
                               
                                
                               2 
                             
                           
                         
                       
                     
                     ) 
                   
                   × 
                   γ 
                 
               
             
           
         
       
     
     wherein γ=(Y/X)×(C/A) 
     (f) Calculation of Amount (wt %) of Biomass Carbonate Salt in Sample 
     For example, eggshell and seashell contain calcium carbonate mainly made of cyclic carbon (biomass carbonate salt) For example, when eggshell (pMC=G %) is biomass carbonate salt in the sample, the following formula is satisfied. 
     
       
         
           
             E 
             = 
             
               
                 Carbon 
                  
                 
                     
                 
                  
                 amount 
                  
                 
                     
                 
                  
                 of 
                  
                 
                     
                 
                  
                 biomass 
                  
                 
                     
                 
                  
                 carbonate 
                  
                 
                     
                 
                  
                 salt 
                 × 
                 G 
               
               
                 
                   ( 
                   
                     1 
                     - 
                     
                       PC 
                       × 
                       β 
                       × 
                       
                         
                           M 
                           
                             CaCO 
                              
                             
                                 
                             
                              
                             3 
                           
                         
                         / 
                         
                           M 
                           
                             CO 
                              
                             
                                 
                             
                              
                             2 
                           
                         
                       
                     
                   
                   ) 
                 
                 × 
                 
                   10 
                   
                     - 
                     5 
                   
                 
                 × 
                 Y 
                 × 
                 C 
               
             
           
         
       
     
     Based on this formula, the amount of biomass carbonate salt (eggshell) (wt %) can be determined by calculating the amount of carbon of biomass carbonate salt using this formula and dividing the resulting amount by the carbon content of the carbonate salt (Mc/M CaCO3 ). 
     (g) Calculation of Amount (wt %) of Organic Biomass Component in Sample 
     From the  14 C concentration (pMC: F′%) of the portion excluding carbonate salt from the sample, the cyclic carbon content (%) of this portion can be calculated by the following formula. 
       Cyclic carbon content  H′ (%)=( F′× 100)/110 
     The mass percent I′ (wt %) of carbon originating from cyclic carbon (biomass component) can be calculated by the following formula. 
         I ′ (wt %)=( X×A× 10 −6   −Y×C× 10 −7 )× H′   
     When the biomass component contained in the sample is polylactic acid, since the carbon content according to elementary analysis is 50 wt %, the mass percent of the polylactic acid contained in the sample is as follows. 
       Mass percent of polylactic acid (wt %)= I′/ 0.5 
     The carbon amount and  14 C concentration of materials in a sample calculated by (a) to (g) above are shown in Table 1 and the mass percent (wt %) in the sample is shown in Table 2. 
     
       
         
           
               
               
               
               
             
               
                   
                 TABLE 1 
               
               
                   
                   
               
               
                   
                   
                 Amount in sample 
                   
               
               
                   
                 Total carbon (wt %) 
                 (wt %) 
                   14 C concentration (pMC: %) 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Measured by 
                 X · A · 10 −4   
                 — 
                 B 
               
               
                 combustion 
                 . . . (1) 
               
               
                 treatment 
               
               
                 (entire 
               
               
                 sample) 
               
               
                 Measured by 
                 Y · C · 10 −5   
                 — 
                 D 
               
               
                 acid 
                 . . . (2) 
               
               
                 treatment 
               
               
                 Portion of 
                 10 −5  × Y × C × 
                 (M CaCO3 /MC) × (3) 
                 E = D/(1 −PC × β × M CaCO3 /M CO2 ) 
               
               
                 carbonate 
                 (1 − PC × β × M CaCO3 /M CO2 ) 
                 (as CaCO 3 ) 
               
               
                 salt 
                 . . . (3) 
               
               
                 Portion of 
                 0.7557* × PC 
                 PC 
                 0 
               
               
                 carbonate 
                 . . . (4) 
                 (as polycarbonate) 
               
               
                 ester 
               
               
                   
               
               
                 Organic substance other than carbonate ester 
                 (1) − (3) − (4) 
                 Refer to Table 2 
                 
                   
                     
                       
                         
                           F 
                           ′ 
                         
                         = 
                         
                           
                             
                               10 
                                
                               B 
                             
                             - 
                             
                               D 
                                
                               γ 
                             
                           
                           
                             10 
                             - 
                             
                               
                                 ( 
                                 
                                   1 
                                   - 
                                   
                                     
                                       PC 
                                        
                                       β 
                                        
                                       
                                         M 
                                         CaCO3 
                                       
                                     
                                     / 
                                     
                                       M 
                                       CO2 
                                     
                                   
                                 
                                 ) 
                               
                                
                               γ 
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Inorganic 
                 0 
                 100 − (sum of upper 
               
               
                 substance 
                   
                 values) 
               
               
                 other than 
               
               
                 carbonate 
               
               
                 salt 
               
               
                   
               
               
                 M CaCO3  = 100: M CO2  = 44: Mc = 12: γ = (Y/X) × (C/A) 
               
               
                 PC (wt %) = NMR integrated value × Internal standard/α: 
               
               
                 α = integrated value of PC/[PC wt %/Internal standard wt %] 
               
               
                 *0.7557 is the carbon content (wt/wt) of polycarbonate. 
               
            
           
         
       
     
     
       
         
           
               
               
               
               
             
               
                 TABLE 2 
               
               
                   
               
               
                 Sample 
                   
                   
                   
               
               
                 composition 
                 Subdivision 
                 Assumption 
                 Mass percent in sample (wt %) 
               
               
                   
               
             
            
               
                 Organic 
                 (1) Biomass 
                 Carbon content 
                 Cycle carbon content/x 
               
               
                 component 
                 component 
                 of material x 
               
               
                   
                 (2) Carbonate 
                 As 
                 PC (measured from NMR integrated value) 
               
               
                   
                 ester 
                 polycarbonate 
               
               
                   
                 (non-biomass 
               
               
                   
                 component) 
               
               
                   
                 (3) Other 
                 pMC = 0 
                 — 
               
               
                   
                 non-biomass 
               
               
                   
                 component 
               
               
                 Carbonate salt 
                 (4) Biomass 
                 CaCO 3 : pMC = G 
                 (M CaCO3 /Mc) × 10 −5  × Y × C × D/G 
               
               
                   
                 carbonate salt 
                 e.g eggshell 
               
               
                   
                 (5) Non-biomass 
                 CaCO 3   
                 (M CaCO3 /Mc) × 10 −5  × Y × C × (1 − PC × β × M CaCO3 /M CO2  − D/G) 
               
               
                   
                 carbonate salt 
                 e.g limestone 
               
               
                 Inorganic 
                 — 
                 — 
                 — 
               
               
                 component other 
               
               
                 than carbonate 
               
               
                 salt 
               
               
                   
               
               
                 PC (wt %) = NMR integrated value × internal standard/α: 
               
               
                 α = integrated value of PC/[PC wt %/internal standard wt %] 
               
               
                 Biomass degree = (1) + (4) (wt %) 
               
            
           
         
       
     
     As shown in Table 2, according to the measuring method of the invention, the biomass degree can be determined by subdividing the components in a sample to five types. Since the method takes inorganic fillers contained in a sample into account, the biomass degree of a sample can be more accurately determined. 
     Specific examples of biomass degrees determined by the above-described measurement and calculation are given below. Sample 1 is a chalk containing about 60% of eggshell (mass percent in the sample, hereinafter the same) and cellulose, and sample 2 is a teacup made from a resin which contains about 40% of eggshell and about 10% of cone pole (carbohydrate). The results are shown in Table 3. 
     In the calculation, the  14 C concentration (pMC) of eggshell was taken to be 104.66%, and carbohydrate (C n H 2n O n ) and cellulose were taken to have a carbon content of 44.07 wt % and a  14 C concentration (pMC) of 110%. 
     
       
         
           
               
               
               
             
               
                   
                 TABLE 3 
               
               
                   
                   
               
               
                   
                 Sample 1 
                 Sample 2 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Measure- 
                 Amount of sample (g) 
                 1.0000 
                 1.0000 
               
               
                 ment by 
                 Trapped mass X (g) after CO 2   
                 1012.5 
                 998.2 
               
               
                 burning 
                 absorption 
               
               
                 treatment 
                 Total carbon concentration A 
                 2.29 
                 1.19 
               
               
                   
                 (ppm) 
               
               
                   
                 Carbon content of sample (wt %) 
                 23.20 
                 11.90 
               
               
                   
                   14 C concentration pMC: B (%) 
                 50.50 
                 66.00 
               
               
                   
                 Ash 
                 Found 
                 Found 
               
               
                 Measure- 
                 Amount of sample (g) 
                 10.0000 
                 10.0000 
               
               
                 ment by 
                 Trapped mass Y (g) after CO 2   
                 998.7 
                 1002.49 
               
               
                 acid 
                 absorption 
               
               
                 treatment 
                 Total carbon concentration C 
                 4.72 
                 10.7 
               
               
                   
                 (ppm) 
               
               
                   
                 Carbon content of sample (wt %) 
                 4.715 
                 10.773 
               
               
                   
                   14 C concentration pMC: D (%) 
                 104.66 
                 64.26 
               
            
           
           
               
               
               
            
               
                 Existence of carbonate ester 
                 None 
                 None 
               
            
           
           
               
               
               
               
            
               
                 Results of 
                 Carbon content of carbonate 
                 4.72 
                 10.773 
               
               
                 calculation 
                 salt in sample (wt %) 
               
               
                 using 
                   14 C concentration pMC: E (%) 
                 104.66 
                 64.26 
               
               
                 measured 
                 originating from carbonate 
               
               
                 data 
                 salt 
               
               
                   
                 Ratio of biomass carbonate 
                 39.295 
                 55.119 
               
               
                   
                 salt in sample (wt %) (1) 
               
               
                   
                 Carbon content of portion 
                 18.5 
                 1.1 
               
               
                   
                 excluding carbonate salt 
               
               
                   
                 (organic substance) in sample 
               
               
                   
                 (wt %) 
               
               
                   
                   14 C concentration pMC: F (%) of 
                 36.68 
                 82.59 
               
               
                   
                 portion excluding carbonate 
               
               
                   
                 salt 
               
               
                   
                 Carbon content of organic 
                 6.16 
                 0.85 
               
               
                   
                 biomass component (wt %) 
               
               
                   
                 Mass percent of organic 
                 13.99 
                 1.92 
               
               
                   
                 biomass component (wt %) (2) 
               
            
           
           
               
               
               
            
               
                 Biomass degree of sample 
                 53.28 
                 57.04 
               
               
                 (content of biomass components ((1) + (2)) wt %) 
               
               
                   
               
            
           
         
       
     
     INDUSTRIAL APPLICABILITY 
     According to the method of the invention, the cyclic carbon content of an entire sample can be more accurately determined, even if the sample contains substances with different cyclic carbon contents. In addition, since the method can measure the mass percent (wt %) of a biomass component in a sample, whether or not the sample is a material with a small environmental load can be easily judged. Therefore, the method can be used for authorization of a material (biomass material) with a small environmental load.