Characterization of pigment particle absorption efficiencies using frequency domain photon migration

Time-dependent measurements of multiply scattered light were made using frequency domain photon migration (FDPM) techniques in polystyrene latex as a function of ppm pigment concentration (by weight) in order to determine the wavelength-dependent absorption efficiencies for three different pigment particles. The results demonstrate that the absorption spectra of pigment particles within their dispersing vehicles concur with the complementary color chart. FDPM offers a first-principles method for assessing optical characteristics of pigments within their dispersing vehicles and without the need to resort to conventional measurement of diffuse reflectance from coatings and data analysis using phenomenological theory.     

Colloidal photonic crystal pigments with low angle dependence

Poly(methyl methacrylate) (PMMA)-based colloidal photonic crystals have an incomplete photonic band gap (PBG) and typically appear iridescent in the visible range. As powders, synthetic PMMA opals are white, but when infiltrated with carbon black nanoparticles, they exhibit a well-defined color that shows little dependence on the viewing angle. The quantity of black pigment determines the lightness of the color by controlling scattering. The combined effects of internal order within each particle and random orientation among the particles in the powder are responsible for this behavior. These pigments were employed as paints, using a mixture of polyvinyl acetate as a binder and deionized water as the solvent, and were applied to wood and paper surfaces for color analysis.     

炭黑填充型导电复合材料的压阻计算模型及实验验证

为研究新型传感器材料,在通用有效介质理论的基础上,提出了炭黑填充型导电复合材料的压阻特性数学计算模型,定量地得出炭黑颗粒的基本特征参数、体积分数和聚合物基体的弹性模量在复合材料压阻规律中的影响。分别以硅橡胶和高密度聚乙烯为基体相,三种不同粒径的炭黑为导电相,制备了炭黑填充型复合材料,对计算模型进行了实验验证。在炭黑颗粒分布均匀、炭黑体积分数在渗流阈值附近和外加压力≤2 MPa等三个边界条件下,数学计算模型与实验结果基本吻合,且压力-电阻变化规律一致。      

Multispectral diffuse optical tomography with absorption and scattering spectral constraints

We present a new method to simultaneously reconstruct the images of oxyhemoglobin, deoxyhemoglobin, and water concentrations, as well as the volume fraction images of the scattering particles using continuous wave multispectral diffuse optical tomography with the absorption and scattering spectral prior constraints. In this method, the nonlinear relationship between the reduced scattering coefficient and the volume fraction and the size of the particles is linearized, allowing direct reconstruction of the volume fraction of scattering particles in tissues. The method is validated by a series of numerical simulations, phantom experiments, and in vivo clinical experiments. The initial clinical results indicate that the volume fraction of scattering particles in a malignant tumor is higher than that in a benign tumor.     

Validating the assumption to the interference approximation by use of measurements of absorption efficiency and hindered scattering in dense suspensions

Frequency domain photon migration (FDPM) measurements were employed to accurately quantify optical properties of both the suspending fluid and particles within dense polystyrene suspensions of 143- or 226-nm mean diameter at varying concentrations (5-30% by volume). The measured absorption coefficients varied linearly with particle volume fraction whereas the isotropic scattering coefficients varied nonlinearly in agreement with the prediction that utilizes the hard-sphere structure factor model. These results validate the interference approximation of light scattering to describe light propagation accurately within dense suspensions. Furthermore, owing to the accuracy of FDPM absorption measurements, the imaginary refractive indices for both particles and their suspending fluid were determined and were found to compare favorably with literature values.     

Plasma-chemical synthesis of ultradispersed iron oxides with pigment qualification

The conditions are investigated for preparing ultradispersed iron oxides with pigment qualification (iron oxide pigments) via oxidation in electric arc low temperature plasma (LTP) of: iron dichloride (crystal hydrate), iron sulfate (monohydrate), roughly dispersed iron and burnt pyrites. Using a simplified one-dimensional model, calculations are made describing the motion, heating, melting and evaporation of iron particles of <50 m size; these agree well with experimental results. A procedure is proposed for formation of ultradispersed particle (UDP) structures. Depending on the plasma-chemical process (PCP) parameters, one can control the specific surface (dispersity) of the pigments. The influence is studied of aluminium and aluminium oxide additives on the pigmental properties of iron oxides. Depending on the PCP conditions and the UDP dispersity, the pigment's colour varies from black through dark brown, red-brown, red-violet to light brown. The pigment possesses high surface coverage combined with medium oil absorption and good compatibility with other pigments.     

填充型聚合物基复合材料的导电和导热性能

研究了高密度聚乙烯为基体、炭黑和炭纤维为填料复合体系的导电和导热性能。发现当导电填料的含量达到渗流阈值时,复合材料的电导率急剧升高;而在渗流阈值附近,其热导率未出现突变。这表明电导渗流现象不完全是由导电粒子通过物理接触生成导电链所致。其导电机制是相当数量的导电粒子相互发生隧道效应。     

Mid-infrared diffuse reflection of a strongly absorbing analyte on non-absorbing and absorbing matrices. Part I: homogeneous powders

KBr disks of caffeine were prepared quantitatively so that the absorptivity of caffeine in this environment could be measured. The disks were then ground up finely and their diffuse reflection spectrum was measured. The average path length traveled by remitted photons was then calculated by the simple application of the Beer-Lambert law. The path length that an average photon travels within a finely powdered matrix of KBr is approximately 4 mm when the concentration of a uniformly dispersed, strongly absorbing analyte such as caffeine is 0.01% or less. This path length then decreases as the concentration of the analyte increases as more photons are absorbed by the analyte. When carbon black is added to the mixture of caffeine and KBr and the measurements are repeated, the effective path length drops even further. The average photon that is remitted from a fine infrared-transparent powder containing a very low concentration of an analyte has been shown to encounter at least 400 particles, indicating a highly random path. The more strongly the matrix absorbs, the shorter the path length. When 0.1% of carbon black is added to the disk, the path length drops to about 100 microm.     

Fiber-optic probe for noninvasive real-time determination of tissue optical properties at multiple wavelengths

We present a compact, fast, and versatile fiber-optic probe system for real-time determination of tissue optical properties from spatially resolved continuous-wave diffuse reflectance measurements. The system collects one set of reflectance data from six source-detector distances at four arbitrary wavelengths with a maximum overall sampling rate of 100 Hz. Multivariate calibration techniques based on two-dimensional polynomial fitting are employed to extract and display the absorption and reduced scattering coefficients in real-time mode. The four wavelengths of the current configuration are 660, 785, 805, and 974 nm, respectively. Cross-validation tests on a 6 x 7 calibration matrix of Intralipid-dye phantoms showed that the mean prediction error at, e.g., 785 nm was 2.8% for the absorption coefficient and 1.3% for the reduced scattering coefficient. The errors are relative to the range of the optical properties of the phantoms at 785 nm, which were 0-0.3/cm for the absorption coefficient and 6-16/cm for the reduced scattering coefficient. Finally, we also present and discuss results from preliminary skin tissue measurements.     

The influence of carbon black on properties of orientated polypropylene Part I Tensile and physical properties

A series of oriented polypropylene tapes each containing carbon black having defined properties and at a specified concentration were produced and tested for their tensile and physical behaviours at 20 and 130 °C. Tenacities at 20 °C decreased as carbon black concentration increased from 2.5 to 5% (w/w) and with increasing particle size. At constant particle size and concentrations, tape tenacities were also inversely dependant on carbon black structure. The observed effects were expressed in terms of occlusion of polymer within carbon black aggregates having high structures thereby increasing the pigment particles effective volumes. When tested at 130 °C, variation in tape tenacities were less, probably as a consequence of the reordering effects of annealing. DSC and IR measures of crystallinity showed that the presence of carbon black and variations in particle properties influenced the character of the crystalline regions.     

Radiative-conductive heat transfer in a semitransparent composite with microspherical particles

A mathematical model for calculating the temperature field in a semitransparent composite material that includes a polymethyl methacrylate matrix and quartz microspheres is suggested. In calculating the optical properties of the composite material, use was made of the optical properties of the matrix and of the interacting quartz microspheres at different filling factors which characterize the volume concentration of particles in the matrix. Allowance for the interaction between the composite components is made following the Maxwell–Garnett approximation. Data on the complex refractive index of the composite were used for calculating the coefficients of absorption, scattering, and attenuation of packed particles by the Mie theory. The temperature fields in a layer of the material are found from solving the boundary-value problem for the energy equation and a system of radiation transfer equations with the use of these coefficients.     

Creep of electrical resistance under uniaxial pressures for carbon black–silicone rubber composite

A composite comprised of dispersed conductive particles in an insulating polymer matrix is an excellent sensing material and could be used in flexible pressure sensors and tactile sensors. In this study, we investigated the variation of electrical resistance as a function of pressure for carbon black–silicone rubber composite. Samples were fabricated with different carbon black volume fractions. From experimental results, it was found that the composite has not only piezoresistivity but also electrical resistance creep behavior, which illustrates the relationship between electrical resistance and time. To describe and predict the above two phenomena, a mathematical model was established for particles filled polymer composites. When the piezoresistive composite was applied as a pressure-sensing unit, errors were seen due to “resistance creep” behavior. Based on this study, a method to inhibit such errors were investigated, developed, and realized.     

钛酸钡化学原位改性炭黑粒子的电磁性能

采用溶胶-凝胶法制备出了钛酸钡改性炭黑的复合粒子,并观察和分析了改性粒子的颗粒成分、结构、微波介电特性及其对电磁波的吸收性能.XRD分析可知复合粒子中含有钛酸钡晶体和炭黑.TEM研究表明,溶胶-凝胶法很好地在炭黑表面包覆了一层钛酸钡绝缘层,从而使得基体中的炭黑粒子形成导电孤岛.结果表明钛酸钡改性对不同炭黑含量有着不同的影响:当炭黑体积含量较低时(＜20%),钛酸钡的包覆降低了复合材料的吸波效能;当体积百分含量超过20%时,钛酸钡的包覆提高了复合材料的吸波效能.这主要是因为钛酸钡包覆炭黑粒子形成的"导电孤岛"对复合材料的电性能影响的缘故.     

Absorption and scattering of light by pigment particles in solar-absorbing paints

The optical properties of black-pigmented solar absorbing paint were analyzed phenomenologically by use of the Kubelka-Munk theory, including correction for reflection on front and rear surfaces. The effective absorption and scattering coefficients and the efficiency curves for absorption and scattering were calculated for coatings with different pigment-to-volume concentration ratios. The dependence of absorption and scattering efficiency on the pigment-to-volume concentration ratio was analyzed by reference to theoretical data in the literature. It was concluded that, during drying and curing of coatings, spherical primary pigment particles most likely collect in elongated groups oriented perpendicularly to the coating surface. Formation of such groups helps in understanding the independent measurements of solar absorptance.     

Spatially resolved absolute diffuse reflectance measurements for noninvasive determination of the optical scattering and absorption coefficients of biological tissue

The absorption and transport scattering coefficients of biological tissues determine the radial dependence of the diffuse reflectance that is due to a point source. A system is described for making remote measurements of spatially resolved absolute diffuse reflectance and hence noninvasive, noncontact estimates of the tissue optical properties. The system incorporated a laser source and a CCD camera. Deflection of the incident beam into the camera allowed characterization of the source for absolute reflectance measurements. It is shown that an often used solution of the diffusion equation cannot be applied for these measurements. Instead, a neural network, trained on the results of Monte Carlo simulations, was used to estimate the absorption and scattering coefficients from the reflectance data. Tests on tissue-simulating phantoms with transport scattering coefficients between 0.5 and 2.0 mm(-1) and absorption coefficients between 0.002 and 0.1 mm(-1) showed the rms errors of this technique to be 2.6% for the transport scattering coefficient and 14% for the absorption coefficients. The optical properties of bovine muscle, adipose, and liver tissue, as well as chicken muscle (breast), were also measured ex vivo at 633 and 751 nm. For muscle tissue it was found that the Monte Carlo simulation did not agree with experimental measurements of reflectance at distances less than 2 mm from the incident beam.     

Calculation of Mie derivatives

Analytical expressions are found for the derivatives of commonly used Mie scattering parameters, in particular the absorption and the scattering efficiencies, and for the angular intensity functions. These expressions are based on the analytical derivatives of the Mie scattering amplitudes a(n) and b(n) with respect to the particle size parameter and complex refractive index. In addition, analytical derivatives are found for the volume absorption and scattering coefficients, as well as for the intensity functions of a population of particles with log normal size distribution. These derivatives are given with respect to the total number density, to the median radius and spread of the distribution, and to the refractive index. Comparison between analytically and numerically computed derivatives showed the analytical version to be 2.5 to 6.5 times as fast for the single-particle and particle-distribution cases, respectively.     

高结构炭黑酸化改性的研究

通过改变时间、硫酸浓度等反应条件,酸化改性不同品种炭黑,得到了实验所需试样.采用自然沉降法测定了酸化改性高结构炭黑在水溶液中的分散性及稳定性.利用激光粒度分布仪检测了每种改性炭黑的遮光率,根据酸碱滴定法定量分析了炭黑表面基团与分散性的关系,并比较了改性炭黑与色素炭黑之间的性能指标.结果表明,炭黑N234与6mol/L硫酸反应8h制备的改性炭黑分散性最佳,原因是其表面的酚羟基和内酯基含量有所增加.通过比较炭黑的分散性及市场价格,得知改性炭黑优于色素炭黑.     

Preparation of plant derived carbon and its application for inclusion pigments

Plant derived carbon was utilized as a new financial and environmental friendly colorant in the synthesis of zircon encapsulated carbon pigment (C@ZrSiO₄) via non-hydrolytic sol-gel method. After calcining, nature plants, i.e. sisal and bamboo leaves, were carbonized and occluded in ZrSiO₄ matrix. The FT-IR and XRD results demonstrated that the plants were not affect the non-hydrolytic sol-gel polycondensation reaction, resulting in the pure ZrSiO₄ formation. Both inclusion pigments presented deep black hue, i.e. L¹?=?34.93 and 33.02 for sisal and bamboo leaves, respectively, which was contributed to the homogeneous pore-size distribution and high carbon yield of the plants. These pigments have many distinguished advantages including low cost, high chromatic performance and excellent thermal stability, making them promising candidates for ceramic decoration.     

炭黑填充型导电复合材料的聚集体结构模型

分析了炭黑填充聚合物导电复合材料的非线性导电行为和机理,基于有效介质理论及以炭黑聚集体的等效球形单元为基本单元,建立了描述其非线性导电行为的聚集体结构模型。进而推导出复合体系导电率与炭黑体积分数之间的关系式及其逾渗阈值的计算式,克服了有效介质理论只能得到逾渗阈值为1/3而不能解释低于1/3的逾渗阈值的不足。应用这些表达式预测了导电复合体系的导电率和逾渗阈值,并与实验结果进行了比较,结果表明:预测值与实验结果有较好的一致性。     

Scattering and absorption cross sections of light diffusing materials retrieved from reflectance and transmittance spectra of collimated radiation

Four-flux radiative transfer models have been extensively used to describe reflectance and transmittance (R&T) spectra of light scattering and absorbing (S&A) media. Solutions to the differential equations corresponding to the collimated fluxes are obtained by subsequent application of boundary conditions. Explicit expressions for the collimated R&T of light are reported, when considering a light S&A medium contained between two glass slides, an experimental arrangement which is appropriate for liquid suspensions and viscous matrices containing solid particles. A spectral simulated annealing method is applied to retrieve, from measured R&T spectra of collimated light under normal incident radiation, the scattering and absorption coefficients of the composite medium. First, the accuracy of the method is established by applying it to synthetic collimated R&T data. Secondly, we apply the method to experimental data and use it to determine the S&A coefficients of a layer of TiO₂ particles dispersed in a PVP/water matrix.