Treatment agent composition for textile products
11332698 · 2022-05-17
Assignee
Inventors
Cpc classification
D06M13/03
TEXTILES; PAPER
D06M13/256
TEXTILES; PAPER
D06M11/79
TEXTILES; PAPER
C11D3/1253
CHEMISTRY; METALLURGY
C11D1/14
CHEMISTRY; METALLURGY
International classification
C11D1/12
CHEMISTRY; METALLURGY
C11D3/00
CHEMISTRY; METALLURGY
C11D1/14
CHEMISTRY; METALLURGY
Abstract
The present invention provides a treatment agent composition for textile products, containing the following component (A) and the following component (B): component (A): an internal olefin sulfonate having 16 or more and 24 or less carbons; and component (B): a softening base for textile products.
Claims
1. A method for treating a textile product, comprising bringing the textile product into contact with a treatment liquid obtained by mixing the following component (A), the following component (B) and water: component (A): an internal olefin sulfonate having 16 or more and 24 or less carbons; and component (B): a softening base for textile products, wherein a mass ratio of the content of an internal olefin sulfonate having 16 carbons (A.sub.C16) and the content of an internal olefin sulfonate having 17 or more and 24 or less carbons (A.sub.C17-C24), (A.sub.C16)/(A.sub.C17-C24), in the component (A) is 0 or more and 0.6 or less.
2. The method for treating a textile product according to claim 1, wherein the component (B) is one or more compounds selected from a clay mineral and a silicone compound.
3. The method for treating a textile product according to claim 2, wherein the silicone compound is one or more silicone compounds selected from the following component (b1) and the following component (b2): component (b1): dimethylpolysiloxane; and component (b2): a silicone compound having one or more groups selected from a polyoxyalkylene group, a hydrocarbon group with 3 or more and 14 or less carbons, an amide group, an ester group and an amino group.
4. The method for treating a textile product according to claim 1, wherein a mass ratio of the content of the component (A) to the content of the component (B), component (A)/component (B), in the treatment liquid is 1 or more and 70 or less.
5. The method for treating a textile product according to claim 1, wherein the component (A) is an internal olefin sulfonate having 16 or more and 24 or less carbons and, in the internal olefin sulfonate, a mass ratio of an internal olefin sulfonate having the sulfonate group at position 2 or higher and 4 or lower and having 16 or more and 24 or less carbons (IO-1S) to an internal olefin sulfonate having the sulfonate group at position 5 or higher and having 16 or more and 24 or less carbons (IO-2S), (IO-1S)/(IO-2S)), is 0.65 or more and 5.5 or less.
6. The method for treating a textile product according to claim 1, wherein in the treatment liquid, the content of the component (A) is 0.003 mass % or more and 1.0 mass % or less, and the content of the component (B) is 0.0001 mass % or more and 0.01 mass % or less.
7. The method for treating a textile product according to claim 1, wherein the textile product to be brought into contact with the treatment liquid is a textile product obtained through a step of performing cleaning with a cleaning liquid containing a detergent surfactant and water.
8. The method for treating a textile product according to claim 7, wherein the detergent surfactant is one or more surfactants selected from an anionic surfactant other than the component (A), and a nonionic surfactant.
Description
EXAMPLES
(1) Details of the sodium internal olefin sulfonates used in Examples and Comparative Examples will be described below.
(2) (a-1): Sodium Internal Olefin Sulfonate Having 18 Carbons
(3) The mass ratio of hydroxy form (sodium hydroxyalkane sulfonate)/olefin form (sodium olefin sulfonate) in (a-1) is 84/16. The position-distribution-mass ratio of sulfonate groups of the HAS forms in (a-1) is as follows: position 1/position 2/position 3/position 4/position 5/positions 6 to 9=1.5/22.1/17.2/21.8/13.5/23.9. The ratio (IO-1S)/(IO-2S) is 1.6 (mass ratio).
(4) (a-2): Sodium Internal Olefin Sulfonate Having 16 Carbons
(5) The mass ratio of hydroxy form (sodium hydroxyalkane sulfonate)/olefin form (sodium olefin sulfonate) in (a-2) is 85/15. The position-distribution-mass ratio of sulfonate groups of the HAS forms in (a-2) is as follows: position 1/position 2/position 3/position 4/position 5/positions 6 to 8=1.5/24.1/19.9/24.6/14.1/15.8. The ratio (IO-1S)/(IO-2S)=2.3 (mass ratio).
(6) (a-3): Sodium Internal Olefin Sulfonate Having 18 Carbons
(7) The mass ratio of hydroxy form (sodium hydroxyalkane sulfonate)/olefin form (sodium olefin sulfonate) in (a-3) is 82/18. The position-distribution-mass ratio of sulfonate groups of the HAS forms in (a-3) is as follows: position 1/position 2/position 3/position 4/position 5/positions 6 to 9=1.7/31.5/25.1/24.7/10.2/6.8. The ratio (IO-1S)/(IO-2S) is 4.8 (mass ratio).
(8) (a-4): Sodium Internal Olefin Sulfonate Having 18 Carbons
(9) The mass ratio of hydroxy form (sodium hydroxyalkane sulfonate)/olefin form (sodium olefin sulfonate) in (a-4) is 83/17. The position-distribution-mass ratio of sulfonate groups of the HAS forms in (a-4) is as follows: position 1/position 2/position 3/position 4/position 5/positions 6 to 9=0.6/12.8/10.7/16.6/15.2/44.1. The ratio (IO-1S)/(IO-2S) is 0.68 (mass ratio).
(10) (a′-3): Sodium Internal Olefin Sulfonate Having 14 Carbons
(11) The mass ratio of hydroxy form (sodium hydroxyalkane sulfonate)/olefin form (sodium olefin sulfonate) in (a′-3) is 91/9. The sulfonate groups of the HAS forms in (a′-3) are distributed at positions 1 to 7.
(12) The position distribution of sulfonate groups of the HAS form contained in each internal olefin sulfonate was measured by a liquid chromatography mass spectrometer (hereinafter, abbreviated as LC-MS). The internal olefin sulfonate having a double bond at position 6 or higher was not definitely fractionated because peaks overlapped. Apparatuses used for measurement, and analysis conditions are as follows.
(13) [Measuring Instruments]
(14) LC apparatus: “LC-20ASXR” (manufactured by Shimadzu Corporation)
(15) LC-MS apparatus: “LCMS-2020” (manufactured by Shimadzu Corporation)
(16) Column: ODS Hypersil (length: 250 mm, inner diameter: 4.6 mm, particle diameter: 3 μm, manufactured by Thermo Fisher Scientific)
(17) Detector: ESI(−), m/z=349.15 (C18), 321.10 (C16), 293.05 (C14)
(18) [Solvents]
(19) Solvent A: 10 mM aqueous ammonium acetate
(20) Solvent B: acetonitrile/water=95/5 solution with 10 mM ammonium acetate added
(21) [Elution Conditions]
(22) Gradient: solvent A 60%-solvent B 40% (0-15 min).fwdarw.solvent A 30%-solvent B 70% (15.1-20 min).fwdarw.solvent A 60%-solvent B 40% (20.1-30 min) Flow rate: 0.5 ml/min Colum temperature: 40° C. Injection amount: 5 μl
(23) <Formulation Components>
(24) [Component (A)]
(25) (a-1): sodium internal olefin sulfonate having 18 carbons [(IO-1S)/(IO-2S)=1.6 (mass ratio)]
(26) (a-2): sodium internal olefin sulfonate having 16 carbons [(IO-1S)/(IO-2S)=2.3 (mass ratio)]
(27) (a-3): sodium internal olefin sulfonate having 18 carbons [(IO-1S)/(IO-2S)=4.8 (mass ratio)](a-4): sodium internal olefin sulfonate having 18 carbons [(IO-1S)/(IO-2S)=0.68 (mass ratio)]
(28) [Component (A′)]
(29) (a′-1): sodium alkylbenzene sulfonate (number of carbons of alkyl: 12)
(30) (a′-2): polyoxyethylene lauryl ether (number average number of added moles of oxyethylene groups: 10)
(31) (a′-3): sodium internal olefin sulfonate having 14 carbons
(32) [Component (B)]
(33) (b-1): bentonite (manufactured by Kurosaki Hakudo Industries Co., Ltd., Na type, volume swelling ratio: 850%)
(34) (b-2): hectorite (volume swelling ratio: 500%)
(35) (b-3): bentonite (calcium type, volume swelling ratio: 150%)
(36) (b-4): BY16-906 (manufactured by Dow Corning Toray Co., Ltd., silicone compound having an amide group and a polyoxyethylene group)
(37) (b-5): KF-6012 (manufactured by Shin-Etsu Chemical Co., Ltd., HLB=7, silicone compound having a polyoxyethylene group)
(38) (b-6): dimethylpolysiloxane emulsion (emulsion formed of 30 mass % of a dimethylpolysiloxane oil having a kinetic viscosity (25° C.) of 100000 mm.sup.2/s, 3 mass % of sodium lauryl benzene sulfonate, 3 mass % of sodium polyoxyethylene (average number of added moles: 2) lauryl ether sulfate, 5 mass % of glycerin and water as the balance was used)
[Method for Measuring Volume Swelling Ratio of Clay Mineral as Component (B)]
(39) The volume swelling ratio of the clay mineral as component (B), i.e. each of (b-1), (b-2) and (b-3) was calculated by the following method.
(40) 50 mL of an aqueous sodium lauryl benzene sulfonate solution with a concentration of 1000 mg/kg was put in a stoppered colorimetric tube with a capacity of 50 mL (IWAKI COLOR-TUBE50S). The temperature of the aqueous sodium lauryl benzene sulfonate solution was 25° C. Next, 0.5 g of the clay mineral was put in 10 parts into a glass tube in such a manner that the clay mineral was not attached on the wall surface of the glass tube. After the clay mineral was left standing within the temperature range of 25° C.±0.5 C° for 24 hours, the height of the deposited material was measured (L1h, mm). Separately, 0.5 g of the clay mineral alone was put in 10 parts into the heat-resistant glass tube with a capacity of 50 mL in such a manner that the clay mineral was not attached on the wall surface of the glass tube. After the clay mineral was left standing within the temperature range of 25° C.±0.5 C° for 24 hours, the height of the deposited material was measured (L2h, mm). Since the area of the inside bottom surface of the glass tube is constant, the volume swelling ratio can be calculated from the value of the height. That is, the value calculated from expression (1′) below is equal to the volume swelling ratio (%) from expression (1) above.
volume swelling ratio (%)=(L1h/L2h)×100 Expression (1′)
(41) As the sodium lauryl benzene sulfonate, NEOPELEX G-15 (manufactured by Kao Corporation) was used. As the water, ion-exchanged water was used.
(42) <Preparation of Treatment Agent Composition for Textile Products>
(43) Treatment agent compositions for textile products as shown in Tables 1 to 3 were prepared using the above formulation components and ion-exchanged water, and evaluation was performed for the following items. The results are shown in Tables 1 to 3.
(44) Specifically, the treatment agent compositions for textile products as shown in Table 1 were prepared in the following manner. A 5 cm-long Teflon (registered trademark) stirrer piece was put in a glass beaker with a capacity of 200 mL, and the mass of the beaker was measured. Next, 80 g of ion-exchanged water at 20° C., component (A) or component (A′), and component (B) were put in the beaker, and the beaker was sealed on the upper side with Saran Wrap (registered trademark).
(45) The beaker with the contents was placed in a water bath installed in a magnetic stirrer and kept at 60° C., and the contents were stirred at 100 r/min for 30 minutes within a temperature range of 60±2° C. in terms of a temperature of water in the water bath. Next, the water in the water bath was replaced by tap water at 5° C., and the beaker was cooled to 20° C. in terms of a temperature of the composition in the beaker. Next, Saran Wrap (registered trademark) was removed, and the pH at 20° C. of the treatment agent composition for textile products was adjusted to 7.5 using a 0.1 N aqueous sodium hydroxide solution or a 0.1 N aqueous hydrochloric acid solution. Next, ion-exchanged water was added so that the contents had a mass of 100 g, and stirring was performed again at 100 r/min for 30 minutes to obtain each of the treatment agent compositions for textile products as shown in Table 1. The treatment agent compositions for textile products in Tables 2 and 3 were similarly prepared. In Tables 1 to 3, the mass ratio of (A)/(B) is shown with component (A′) used in place of component (A).
(46) <Method for Evaluating Softness>
(47) (1) Pretreatment of Textile Product for Evaluation
(48) In general, commercially available cotton towels hold treatment agents such as spinning oil agents used in spinning of cotton treads to be used for cotton towels, and lubricants used in production of cotton towels. In this evaluation, cotton towels as textile products for evaluation were pretreated by the following method in order to eliminate influences of such treatment agents. The pretreatment in this evaluation includes treatment operations carried out for reducing the amount of treatment agents on a commercially available cotton towel by a washing operation shown below.
(49) 24 cotton towels (TW-220 manufactured by Takei Towel K.K., cotton 100%) were subjected to the following washing operation, and dried in an environment at 23° C. and 45% RH for 24 hours.
(50) The washing operation included washing operation (1) and washing operation (2).
(51) Washing operation (1) was carried out by cleaning the towel twice in a row using a surfactant in a standard course with a fully automatic washing machine (National NA-F702P). In washing operation (1), 4.7 g of EMULGEN 108 (manufactured by Kao Corporation, nonionic surfactant) was used as the surfactant in cleaning in the standard course. The conditions of the standard course employed in washing operation (1) are as follows: water amount: 47 L, water temperature: 20° C., cleaning time: 9 minutes, water-saving rinsing frequency: 2 times, and dehydration time: 3 minutes.
(52) After washing operation (1), washing operation (2) was carried out by repeating a washing operation three times under the same conditions as in washing operation (1) except that a surfactant was not used in cleaning in the standard course.
(53) In the pretreatment, a series of washing operations including washing operation (1) and washing operation (2) under these conditions were carried out.
(54) (2) Treatment 1 of Evaluation Textile Product
(55) A Panasonic electric bucket-type washing machine (model “N-BK2”) was supplied with 6.0 L of city water (3.5° dH (calculated by the above method for measuring the hardness of water), 20° C.), and then 12 g of the treatment agent composition for textile products as shown in each of Examples or Comparative Examples in Table 1 or 30 g of the treatment agent composition for textile products as shown in each of Examples or Comparative Examples in Table 3, and the resulting mixture was stirred for 1 minute. Thereafter, two cotton towels (140 g) pretreated by the above method were put in the washing machine, and treated for 3 minutes. After the treatment, the towels were dehydrated for 1 minute using a Hitachi twin-tub washing machine (model “PS-H35L”). Next, the bucket-type washing machine was supplied with 6.0 L of the city water, and the cotton towels after being dehydrated with the Hitachi twin-tub washing machine were put in the bucket-type washing machine, and subjected to rinsing treatment for 3 minutes. Thereafter, similar dehydration treatment was performed for 1 minute using the twin-tub washing machine. This treatment was performed three times in total, and the towels were then left standing at 20° C. and 43% RH for 12 hours to be dried.
(56) (3) Treatment 2 of Evaluation Textile Product
(57) A Panasonic electric bucket-type washing machine (model “N-BK2”) was supplied with 6.0 L of city water (3.5° dH (calculated by the above method for measuring the hardness of water), 20° C.), and then 0.9 g of component (a′-1), and the resulting mixture was stirred for 5 minutes to obtain a cleaning liquid. Thereafter, two cotton towels (140 g) pretreated by the above method were put in the washing machine, and cleaned for 3 minutes. After the cleaning, the towels were dehydrated for 1 minute using a Hitachi twin-tub washing machine (model “PS-H35L”). Next, the bucket-type washing machine was supplied with 6.0 L of the city water, and the cotton towels after being dehydrated with the Hitachi twin-tub washing machine were put in the bucket-type washing machine, and subjected to rinsing treatment for 3 minutes. Thereafter, 20 g of the treatment agent composition for textile products as shown in Table 2 was put in the washing machine, and the cotton towels were treated for 5 minutes. Next, similar dehydration treatment was performed for 1 minute using the twin-tub washing machine. This treatment was performed three times in total, and the towels were then left standing at 20° C. and 43% RH for 12 hours to be dried.
(58) (4) Evaluation of Softness
(59) Six persons skilled in evaluation of textile texture scored the softness of each of the dried cotton towels by the following criteria, and an average score among the six persons was calculated and rounded to two significant digits. Softness in each of Examples and Comparative Examples was evaluated in six grades with intervals of 0.5 between level 1 corresponding to score 0 and level 2 corresponding to score 3. Level 2 was superior to level 1 in terms of softness.
(60) −1: not softer than the cotton towel treated with the composition of level 1
(61) 0: as soft as the cotton towel treated with the composition of level 1
(62) 3: as soft as the cotton towel treated with the composition of level 2
(63) 4: softer than the cotton towel treated with the composition of level 2
(64) In Table 1, the composition of Comparative Example 1 is defined as level 1 and the composition of Example 1 is defined as level 2 to perform the evaluation. In Table 2, the composition of Comparative Example 5 is defined as level 1 and the composition of Example 8 is defined as level 2 to perform the evaluation. In Table 3, the composition of Comparative Example 7 is defined as level 1 and the composition of Example 14 is defined as level 2 to perform the evaluation. The evaluation results are shown in Tables 1, 2 and 3. It can be determined that a textile treatment agent composition with an average score exceeding 0 imparts better softness. The higher the average score, the more favorable the textile treatment agent composition.
(65) (5) Evaluation of Smoothness
(66) Six persons skilled in evaluation of textile texture scored the smoothness of each of the dried cotton towels by the following criteria, and an average score among the six persons was calculated and rounded to two significant digits. Smoothness in each of Examples and Comparative Examples was evaluated in six grades with intervals of 0.5 between level 1 corresponding to score 0 and level 2 corresponding to score 3. Level 2 was superior to level 1 in terms of smoothness.
(67) −1: not smoother than the cotton towel treated with the composition of level 1
(68) 0: as smooth as the cotton towel treated with the composition of level 1
(69) 3: as smooth as the cotton towel treated with the composition of level 2
(70) 4: smoother than the cotton towel treated with the composition of level 2
(71) In Table 1, the composition of Comparative Example 1 is defined as level 1 and the composition of Example 1 is defined as level 2 to perform the evaluation. In Table 2, the composition of Comparative Example 5 is defined as level 1 and the composition of Example 8 is defined as level 2 to perform the evaluation. In Table 3, the composition of Comparative Example 7 is defined as level 1 and the composition of Example 14 is defined as level 2 to perform the evaluation. The evaluation results are shown in Tables 1, 2 and 3. It can be determined that a textile treatment agent composition with an average score exceeding 0 imparts better smoothness. The higher the average score, the more favorable the textile treatment agent composition.
(72) <Method for Evaluation of Cleaning Properties>
(73) (1) Preparation of Model Artificially Sebum-Stained Cloth
(74) A model artificially sebum-stained cloth was prepared by applying a model artificially sebum-staining liquid of the following composition to a cloth. The application of the model artificially sebum-staining liquid to the cloth was carried out by printing the artificially staining liquid on the cloth using a gravure roll coater. The process for preparing the model artificially sebum-staining cloth by applying the model artificially sebum-staining liquid to the cloth was carried out with a cell capacity of the gravure roll of 58 cm.sup.3/m.sup.2, a coating speed of 1.0 m/min, a drying temperature of 100° C. and a drying time of 1 minute. Cotton 2003 (manufactured by Tanigashira Shoten K.K.) was used as the cloth. *The composition of the model artificially sebum-staining liquid: lauric acid: 0.4 mass %, myristic acid: 3.1 mass %, pentadecanoic acid: 2.3 mass %, palmitic acid: 6.2 mass %, heptadecanoic acid: 0.4 mass %, stearic acid: 1.6 mass %, oleic acid: 7.8 mass %, trioleic acid: 13.0 mass %, n-hexadecyl palmitate: 2.2 mass %, squalene: 6.5 mass %, egg white lecithin liquid crystal substance: 1.9 mass %, Kanuma reddish soil: 8.1 mass %, carbon black: 0.01 mass %, and water: balance (total: 100 mass %).
(75) (2) Evaluation of Detergency
(76) Five model artificially sebum-stained cloths (6 cm×6 cm) prepared as described above were cleaned at 85 rpm for 10 minutes with a tergotometer (Ueshima, MS-8212). The cloths were each cleaned under the following conditions: city water (3.5° dH, 20° C.) was supplied so that the concentration of the treatment agent composition for textile products as shown in Table 1 was 0.033 mass %, and cleaning was performed at a water temperature of 20° C. After cleaning, the cloth was rinsed with city water (20° C.) for 3 minutes. Thereafter, the stained cloth after rinsing was subjected to dehydration treatment for 1 minute using a twin-tub washing machine, and then left standing at 20° C. and 43% RH for 12 hours to be dried. The degree of elimination of stains was visually observed. All the treatment agent compositions for textile products as shown in Table 1 were confirmed to have detergency because the model artificially sebum-stained cloth after cleaning was less stained than the cloth before cleaning. Further, the detergency was evaluated in the same manner as in evaluation of detergency in Table 1 except that cleaning liquids were adjusted so that the concentration of each of the treatment agent compositions for textile products as shown in Table 2 was 0.08 mass % and the concentration of each of the treatment agent compositions for textile products as shown in Table 3 was 0.11 mass %. All the treatment agent compositions for textile products as shown in Tables 2 and 3 were confirmed to have detergency because the model artificially sebum-stained cloth after cleaning was less stained than the cloth before cleaning.
(77) TABLE-US-00001 TABLE 1 Examples Comparative Examples 1 2 3 4 5 6 7 1 2 3 4 Treatment Formulation (A) (a-1) 25 25 25 20 17.5 15 5 agent compositions (a-2) 5 7.5 compositions (mass %) (A′) (a′-1) 25 25 for textile (a′-2) 25 products (a′-3) 25 (B) (b-1) 5 5 5 5 5 5 (b-2) 5 5 5 (b-3) 5 5 Ion-exchanged Balance Balance Balance Balance Balance Balance Balance Balance Balance Balance Balance water Total 100 100 100 100 100 100 100 100 100 100 100 (A)/(B) (mass ratio) 5 5 5 5 5 3 1 5 5 5 5 (A.sub.C16)/(A.sub.C17-C24) 0 0 0 0.25 0.43 0 0 — — — — (mass ratio) (IO-1S)/(IO-2S) 1.6 1.6 1.6 1.7 1.8 1.6 1.6 — — — — (mass ratio) Treatment 1 Softness 3.0 3.0 2.8 2.7 2.5 2.0 1.4 0 −1 −1 −1 (level 2) (level 1) Smoothness 3.0 3.0 3.0 2.7 1.5 2.1 1.8 0 −1 −1 −1 (smallness of (level 2) (level 1) roughness)
(78) TABLE-US-00002 TABLE 2 Examples Comparative Examples 8 9 10 11 12 13 14 5 6 7 Treatment Formulation (A) (a-1) 10 10 10 9 8 6 15 agent compositions (a-2) 1 2 4 compositions (mass %) (A′) (a′-3) 10 10 10 for textile (B) (b-4) 1 1 1 1 1 1 products (b-5) 1 1 (b-6) 1 1 Ion-exchanged Balance Balance Balance Balance Balance Balance Balance Balance Balance Balance water Total 100 100 100 100 100 100 100 100 100 100 (A)/(B) (mass ratio) 10 10 10 10 10 10 15 10 10 10 (A.sub.C16)/(A.sub.C17-C24) 0 0 0 0.11 0.25 0.67 0 — — — (mass ratio) (IO-1S)/(IO-2S) 1.6 1.6 1.6 1.7 1.7 1.9 1.6 — — — (mass ratio) Treatment 2 Softness 3.0 2.7 2.3 2.8 2.5 2.0 4.0 0 0 −1 (level 2) (level 1) Smoothness 3.0 2.5 2.1 2.7 2.2 1.8 3.5 0 −1 −1 (smallness of (level 2) (level 1) roughness)
(79) TABLE-US-00003 TABLE 3 Comparative Examples Examples 15 16 17 18 13 20 21 22 8 Treatment Formulation (A) (a-1) 20 10 10 10 18 16 agent compositions (a-3) 20 10 10 compositions (mass %) (a-4) 20 10 for textile (A′) (a′-3) 20 products (B) (b-1) 1 1 1 1 1 3 5 0.3 (b-5) 1 Ion-exchanged Balance Balance Balance Balance Balance Balance Balance Balance Balance water Total 100 100 100 100 100 100 100 100 100 (A)/(B) (mass ratio) 20 20 20 20 20 20 6.0 3.2 20 (A.sub.C16)/(AC-.sub.17-C24) 0 0 0 0 0 0 0 0 — (mass ratio) (IO-1S)/(IO-2S) 1.6 4.8 0.68 2.6 1.0 2.6 1.6 1.6 — (mass ratio) Treatment 1 Softness 3.0 3.7 2.7 3.3 2.8 3.7 2.7 2.2 0 (level 2) (level 1) Smoothness 3.0 3.5 2.5 3.2 2.7 3.7 2.6 2.2 0 (smallness of (level 2) (level 1) roughness)