Proveniência sedimentar do grupo São Fidélis, terreno oriental da Faixa Ribeira com base em dados U-Pb

O Domínio Costeiro integra o Terreno Oriental, no segmento central da Faixa Ribeira e abriga rochas ortoderivadas com afinidade de arcos magmáticos (Complexo Rio Negro, ca. 790-605 Ma). Os ortognaisses deste complexo possuem clara assinatura para ambientes de zonas de subducção, encaixados em rochas metassedimentares de alto grau, integrantes do Grupo São Fidélis. O conjunto acima descrito é ainda intrudido por várias de rochas granitóides sin a tardi- colisionais, relacionadas às várias etapas de desenvolvimento da Orogenia Brasiliana neste setor do orógeno (ca. 605-480 Ma). Idades U-Pb (LA-ICP-MS) em zircões detríticos de rochas quartzíticas do Grupo São Fidélis indicam um amplo espectro com modas significativas no Mesoproterozóico e Paleoproterozoico, além de zircões do Neoproterozóico e do Arqueano. Sinteticamente os resultados obtidos foram: a) Idades concordantes Arqueanas com ca. 2,85, 2,84 e 2,70 Ga; b) zircões Paleoproterozóicos (ca. 2,3 a 1,7 Ga), com máxima concentração em torno de ca. 2,2 Ga, representando a segunda maior moda; c) Idades Mesoproterozóicas (ca. 1,3 -1,1 Ga) com idades de espectro dominantes, com moda em ca. 1,5 Ga; d) Zircões Neoproterozóicos com idades de ca. 0,95-90 Ga e 0,86-0,61 Ga. Em vários grãos detríticos observou-se sobrecrescimento metamórfico em ca. 602-570 Ma. Dados U-Pb (LA-ICP-MS) obtidos para zircões para Ortognaisse Rio Grande e o Biotita Ortognaisse, intrudidos na unidade basal do Grupo São Fidélis, apresentam idades em ca. 620 Ma e são equivalentes ao período pré-colisional de geração de rochas do arco magmático Rio Negro. Combinando estas idades com os núcleos de zircões detríticos mais jovens, com assinatura do Arco Rio Negro em ca. 613 Ma, pode-se definir o intervalo máximo de sedimentação da unidade superior do Grupo São Fidélis no Neoproterozóico. Cristais de monazitas selecionadas para análise U-Pb (ID-TIMS) apresentam relações com os principais episódios tectono-metamórficos da Faixa Ribeira. Dois cristais de uma amostra quartzítica e dois do ortognaisse Rio Grande alinham-se em uma discórdia que gerou idade de 603 Ma, referente ao metamorfismo progressivo descrito na literatura, durante a Orogenia Brasiliana. Enquanto a idade concordante obtida em 535 Ma, adquirida em uma amostra quartzítica, é correspontente ao último metamorfismo colisional da Faixa Ribeira.

Quantificação e avaliação da biodisponibilidade de metais em sedimentos na Baía da Ribeira RJ

A toxicidade dos metais em ambientes aquáticos está relacionada à sua biodisponibilidade e esta, por sua vez, pode ser influenciada por diversos fatores. As características do sedimento fazem dele um importante compartimento para avaliação do nível de contaminação no ambiente aquático. A presente pesquisa teve por objetivo quantificar e avaliar a biodisponibilidade de metais em sedimentos da baía da Ribeira. Nessa região, encontram-se os bairros mais populosos de Angra dos Reis RJ. Essa baía está localizada na parte nordeste da baía da Ilha Grande, que consiste de um espaço pesqueiro, turístico e de importante valor econômico e industrial. Foram coletados 12 sedimentos na baía da Ribeira e determinados os teores dos metais Al, Cu, Cd , Cr, Fe, Mn, Ni, Pb e Zn, através da extração com água régia (protocolo BCR-701), e o potencial de toxicidade dos metais Cd, Cu, Ni, Pb e Zn pelo método de extração dos sulfetos voláteis em meio ácido e quantificação dos metais extraídos simultaneamente (em inglês Acid Volatile Sulfide and Simultaneously Extracted Metal, AVS/SEM). Também foram efetuadas medidas de pH, potencial redox (Eh), carbono orgânico, fósforo total e granulometria. Através desses dados, foi possível estudar correlações entre essas variáveis. As concentrações de cada metal são similares nas diferentes localizações dos sedimentos e não apresentam significativas diferenças com relação a estudos reportados para a área, com exceção do Pb que apresentou a mais alta concentração já reportada. Os valores de SEM/AVS (entre 0,02 e 0,2) menores que 1, indicam que há quantidade de sulfetos suficiente para o aprisionamento dos metais investigados. As correlações obtidas através da Análise dos Componentes Principais demonstram relação direta entre as concentrações da maioria dos metais extraídos por água-régia (Ni, Fe, Cr, Cu, Zn); entre os metais Mn, Pb, Al e o fósforo total; entre os teores de matéria orgânica, carbono orgânico total, fósforo total com as frações finas de silte e argila com o Eh. Os resultados sugerem que a região não sofre influência significativa de fontes antrópicas em relação a metais e que, segundo o AVS/SEM, esses se encontram pouco disponíveis para o ambiente e, portanto, apresentam baixo potencial tóxico

Intensive biological survey of the Glaze Brook catchment. Supplementary report on the water quality as indicated by macrophytes. August 1981

This is the Intensive biological survey of the Glaze Brook catchment: Supplementary report on the water quality as indicated by macrophytes produced by the North West Water Authority in 1981. This report describes the results of the macrophyte survey including data on their distribution and the prevailing water quality (nutrient status and toxic metal contamination) It supplements the initial report,TS-BS-81-3, which described the macroinvertebrate survey. The aim of this project is to describe the distribution of macrophytes within the river, paying attention to areas where weed growth may directly affect water quality or amenity usage, and describe the distribution of toxic metals. In the survey 16 sites of 500 m lengths of river were analysed, noting the relative abundance and percentage cover of the macrophytes present, plant score and Community Description Class (C.D.C.) were computed.

Geocronologia (40Ar/39Ar e U-Pb), petrografia e litogeoquímica da intrusão alcalina do Marapicu RJ

A intrusão alcalina do Marapicu é uma intrusão localizada no maciço Marapicu-Gericinó-Mendanha situado na região metropolitana do Rio de Janeiro. Este maciço é formado por dois corpos alcalinos: Marapicu e Mendanha que fazem parte do lineamento magmático Poços de Caldas-Cabo Frio. Este lineamento inclui dezenas de corpos ígneos alcalinos de idade Cretácea com uma direção preferencial WNW-ESE. Os litotipos mais abundantes do Maciço Marapicu são representados por nefelina sienitos e sienitos de caráter plutônico, além de, fonolitos caracterizados por intrusões rasas geralmente em forma de diques. Além desses litotipos foram amostradas duas rochas com características químicas de magma parental (lamprófiro e fonolito tefrítico), porém, essas duas amostras não apresentam relação genética com as demais. Também foi amostrado um nefelina sienito que possui sodalita azul como feldspatóide, sendo assim, chamado de nefelina sodalita sienito. Entre os fonolitos coletados para esse trabalho, uma amostra apresenta granada melanita em sua assembleia mineralógica, e esta foi então denominada melanita fonolito. Quimicamente as rochas do Marapicu formam uma série alcalina predominantemente insaturada em sílica, miaskítica e metaluminosa. Dentro desta série se observam duas suítes sendo uma potássica (predominante) e outra sódica. A evolução química do corpo se deu por processo de cristalização fracionada com ou sem assimilação de crosta continental provavelmente dentro de uma fonte mantélica enriquecida. Duas idades de cristalização foram obtidas para o Maciço do Marapicu sendo uma idade 40Ar/39Ar de 80,46 0,58 Ma em hornblenda, e uma idade U-Pb em zircão bastante concordante de 78,0 2,1 Ma. Os dados apresentados aqui em conjunto com dados da literatura apontam para dois modelos geodinâmicos de geração dos corpos alcalinos do sudeste brasileiro, um considera a existência de uma pluma mantélica gerada na astenosfera, o outro tem por base a hipótese de flexura crustal e considera que a carga de sedimentos depositados na plataforma continental exerceria esforços que provocariam fraturas profundas permitindo a ascenção desses magmas. O presente trabalho vem para contribuir no entendimento do alojamento dos corpos alcalinos do sudeste brasileiro através do estudo especifico do Maciço Marapicu em conjunto com dados da literatura

Estudo isotópico e geoquímico dos sedimentos costeiros da Costa Verde do Estado do Rio de Janeiro para identificação de atividades antrópicas

A Costa Verde se localiza no estado do Rio Janeiro, onde também está localizada a Ilha Grande, importante polo turístico do estado. É composta pelas baías Sepetiba e Ilha Grande, que podem ser compartimentadas em diversas enseadas. As principais enseadas são Sepetiba, Marambaia, Mangaratiba, Angra dos Reis, Ribeira, Frade e Paraty. O presente estudo foi realizado nas enseadas de Mangaratiba, Angra dos Reis e Ribeira e foram compilados dados de Sepetiba e Marambaia estudado por outros autores. O objetivo do estudo destas enseadas foi identificar os metais e suas fontes e os mecanismos que os controlam, além de propor novos parâmetros de concentração de metais que indiquem processos de contaminação. O método utilizado foi a coleta de sedimento de fundo através da utilização de Van Veen e analisados por digestão total em espectrômetro de massa da qual se obteve a concentração dos elementos Ca, Cd, Co, Cr, Cu, K, Pb, Na, Ni, Sr, S, U, V e Zn, além das razões isotópicas de chumbo, com prioridade da razão 206Pb/207Pb. Foram obtidos resultados que indicam que a enseada de Mangaratiba apresenta as maiores concentrações de metais e com predominante contribuição antrópica cujas fontes são, os empreendimentos localizados na costa dessa enseada, incluindo o TEBIG. A enseada de Angra dos Reis também apresenta concentrações elevadas de metais, provenientes de efluentes domésticos, rejeito industrial ao qual se inclui o estaleiro Verolme e com forte controle do embasamento da enseada. A enseada da Ribeira tem seus metais fornecidos pelo porto de Bracuhy e uma fonte desconhecida que são controlados, em parte, pelos efluentes da CNAAA. Em relação a interação entre as cinco enseadas existe mútua troca de metais controlados pela dinâmica da Costa e acentuada pelo Canal de Ilha Grande (que liga as duas baias), onde a dispersão dos metais também é controlada por temperatura, fração sedimentar, profundidade e salinidade. Os principais metais relacionados às fontes antrópicas na Costa Verde são Co, Cr, Cu, Mn, Ni, Pb e Zn. As concentrações hoje apresentadas na resolução CONAMA não atendem a realidade da Costa Sul brasileira, sendo então propostos novos parâmetros de controle, menos permissivo

Assessment of contaminant body burdens and histopathology of fish and shellfish species frequently used for subsistence food by Alaskan Native communities

Subsistence food items can be a health concern in rural Alaska because community members often rely on fish and wildlife resources not routinely monitored for persistent bioaccumulative contaminants and pathogens. Subsistence activities are a large part of the traditional culture, as well as a means of providing protein in the diets for Tribal members. In response to the growing concerns among Native communities, contaminant body burden and histopathological condition of chum and sockeye salmon (Oncorhynchus keta and Oncorhynchus nerka) and the shellfish cockles and softshell clams (Clinocardium nuttallii and Mya arenaria) were assessed. In the Spring of 2010, the fish and shellfish were collected from traditional subsistence harvest areas in the vicinity of Nanwalek, Port Graham, and Seldovia, AK, and were analyzed for trace metals and residues of organic contaminants routinely monitored by the NOAA National Status & Trends Program (NS&T). Additionally, the fish and shellfish were histologically characterized for the presence, prevalence and severity of tissue pathology, disease, and parasite infection. The fish and shellfish sampled showed low tissue contamination, and pathologic effects of the parasites and diseases were absent or minimal. Taken together, the results showed that the fish and shellfish were healthy and pose no safety concern for consumption. This study provides reliable chemistry and histopathology information for local resource managers and Alaska Native people regarding subsistence fish and shellfish use and management needs.

Assessing the impacts of the Deepwater Horizon oil spill: the National Status and Trends Program response; a summary report of coastal contamination

NOAA’s National Status and Trends Program (NS&T) collected oyster tissue and sediments for quantification of polycyclic aromatic hydrocarbons (PAHs) and petroleum associated metals before and after the landfall of oil from the Deepwater Horizon incident of 2010. These new pre- and post- landfall measurements were put into a historical context by comparing them to data collected in the region over three decades during Mussel Watch monitoring. Overall, the levels of PAHs in both sediment and oysters both pre- and post-landfall were within the range of historically observed values for the Gulf of Mexico. Some specific sites did have elevated PAH levels. While those locations generally correspond to areas in which oil reached coastal areas, it cannot be conclusively stated that the contamination is due to oiling from the Deepwater Horizon incident at these sites due to the survey nature of these sampling efforts. Instead, our data indicate locations along the coast where intensive investigation of hydrocarbon contamination should be undertaken. Post-spill concentrations of oil-related trace metals (V, Hg, Ni) were generally within historically observed ranges for a given site, however, nickel and vanadium were elevated at some sites including areas in Mississippi Sound and Galveston, Terrebonne, Mobile, Pensacola, and Apalachicola Bays. No oyster tissue metal body burden exceeded any of the United States Food and Drug Administration’s (FDA) shellfish permissible action levels for human consumption.

Major and trace element analytical methods of the National Status and Trends Program: 2000-2006

This document contains analytical methods that detail the procedures for determining major and trace element concentrations in bivalve tissue and sediment samples collected as part of the National Status and Trends Program (NS&T) for the years 2000-2006. Previously published NOAA Technical Memoranda NOS ORCA 71 and 130 (Lauenstein and Cantillo, 1993; Lauenstein and Cantillo, 1998) detail trace element analyses for the years 1984-1992 and 1993-1996, respectively, and include ancillary, histopathology, and contaminant (organic and trace element) analytical methods. The methods presented in this document for trace element analysis were utilized by the NS&T Mussel Watch and Bioeffects Projects. The Mussel Watch Project has been monitoring contaminants in bivalves and sediment for over 20 years, and is the longest active contaminant monitoring program operating in U.S. costal waters. Approximately 280 Mussel Watch sites are monitored on biennial and decadal timescales using bivalve tissue and sediment, respectively. The Bioeffects Project applies the sediment quality approach, which uses sediment contamination measurements, toxicity tests and benthic macroinfauna quantification to characterize pollution in selected estuaries and coastal embayments. Contaminant assessment is a core function of both projects. Although only one contract laboratory was used by the NS&T Program during the specified time period, several analytical methods and instruments were employed. The specific analytical method, including instrumentation and detection limit, is noted for each measurement taken and can be found at http://NSandT.noaa.gov. The major and trace elements measured by the NS&T Program include: Al, Si, Cr, Mn, Fe, Ni, Cu, Zn, As, Se, Sn, Sb, Ag, Cd, Hg, Tl and Pb.

Investigation of extinction in unsteady flames in turbulent combustion by 2D-LIF of OH radials and flamelet analysis

An experimental and theoretical investigation of premixed turbulent combustion in an engine simulator is presented. The distribution of hydroxyl radicals formed in the combustion of propane/air mixtures was visualized by 2D-LIF and used to monitor the progress of the combustion process. For stoichiometric mixtures, images showed a continuous wrinkled flame front, while in lean (λ=1.5) mixtures, local flame extinction was observed as discontinuities in the reaction zone. A bright active reaction zone was still observed in flame inlets and closed concave structures. The effects of self-absorption and of collisional quenching on the fluorescence signal are considered and appear to have only a minor net influence on the shape and width of the flame front. The images are evaluated and interpreted in terms of the Lewis number effect and the laminar flamelet model. Analysis was performed by determining the contour lines of the images (specifically, the ratios of average maximum to equilibrium OH concentration) and comparing with corresponding ratios from unstrained flame simulations. The results show that although the degree of turbulence is not high enough for straining effects to be important, flamelet curvature does play a significant role in the combustion of lean mixtures; this is manifested by a mean effective flame velocity that is less than the laminar burning velocity. © 1991 Combustion Institute.

The study of biological characteristics and heavy metal determination of Cd, Pb, Fe, V, Ni in the muscle, liver and gonad tissues of kingfish Scomberomorus commerson in the coastal waters of the Hormozagan Province (Persian Gulf)

Biological studies and heavy metal (Ni, v, Fe, Pb,Cd) determination in liver, gonad and muscle of Scomberomorus commerson were carried out from Oct 2006 to Sept 2007 in Hormozgan coastal waters. 599 Samples were gutted for reproduction and nutrition studies, fork length and weight were measured to nearest cm and g respectively. Meanwhile 40 samples were also investigated for heavy metal studies. All specimens were collected from two major landing sites (Bandar Lengeh & Bandar Abbas). Minimums & maximum fork length & weight were 29, 128 cm & 235 and 15350 g respectively.Isometric growth was shown according to our study and b was estimated 2.9 (overall), 2.91(male) & 2.89 (female). The average relative gut length was 0.52± 0.007 and it was determined that S. commerson is a carnivorous. More than 99 percent of gut content was different teleost fishes. Gastro somatic index had two peaks in Nov & Jan (before spawning) and with a decreased trend in July, the spawning period. Occurrence of empty stomach was estimated % 65.77. Maximum amount of condition factor was in Dec. Spawning season was started from June. The average of Absolute & relative fecundity (to weight unit) was 1217149±179315 and 178.2±15.58 respectively. Lm50% was estimated 75 cm for females. Sex ratio was 0.97: 1 (male: female). Chi- Square test showed no significant difference (p>0.05). Maximum amount of hepatosomatic index was estimated in March.Metal concentrations were determined using either Flame Atomic Absorption Spectroscopy (for Fe) or Graphite Furnace Atomic Absorption Spectroscopy (for Pb,Cd,Ni and V). The mean concentration (μg/g dry weight)of Pb,Cd,Ni,V and Fe in the liver were 0.0309, 0.0268, 0.0672, 0.0077, 2.5159 in the gonad 0.0440 ,0.0295, 0.1096, 0.0000, 1.4449 and in the muscle 0.0244, 0.0324, 0.0656, 0.0128, 1.6138 respectively. The maximum metal concentrations were below the maximum permissible limits for human consumption recommended by the USEPA, WHO and the UK. The results of Kendall's Tau-b correlation coefficient were as follows: The Liver tissue: There were significant positive linear relationships between accumulation of V, Fe, and Pb with Fork length, Pb and Fe with weight, GSI with Pb, Cd, V and 109 Fe, and a negative linear relationships between HSI with accumulation of V and Fe, Fork length, weight and GSI. The Gonad tissue: There were significant positive linear relationships between GSI with accumulation of Pb, Cd, Fe, Fork length and weight, a negative linear relationship between HSI with Fork length, weight and GSI. The Muscle tissue: There were significant positive linear relationships between accumulations of V, Fe with Fork length and weight factors and as well as GSI with Cd, V, Fe, Pb, Fork length and weight,a negative linear relationship between HSI with Fork length, weight, Cd, Fe and GSI. The results of Mann-Whitney U tests (P≤0.05) show that there were significant differences between summer and autumn from heavy metal contents in the studied tissues point of view. The only exceptions were for Ni in the liver, gonads and muscle and as well as there were significant differences between male and female from heavy metal contents in the studied tissues. The only exceptions were for Pb in muscle, Ni in liver, gonad and muscle, V in muscle, and Cd and Fe in gonads.

Ecological impact of Mahshahr petrochemical activities on abundance and diversity of macrobenthic fauna in Zangi Creek (Persian Gulf)

The Moosa Creek extends from its opening into the Persian Gulf, with some sub narrow creeks leading to it. Zangi creek is one of the main branches of Moosa creek. The creek contains numerous sources of organic pollution, including sewage outlet flows and boat waste. After establishing the Petrochemical special Economic Zone (PETZONE) in 1997 near to the Zangi Creek, the pipelines, streets and railway made it distinct from eastern and western parts of this creek. Industrial activities have released sludge and effluents in this creek along these years. A survey of the Zangi creek was performed, assessing water properties, organic pollution, and the population density, distribution and diversity of macrobenthic fauna through bi-monthly sampling from July 2006 to September 2007. Samples were collected from water near the bottom and sediment at 7 stations include 2 stations inside the distinct Zangi creek and 4 stations along a transect with 1 km distances between them in eastern free part and one reference station located at the Persian Gulf entrance to the Moosa creek. The environmental parameters such as temperature, salinity, pH, dissolved oxygen, COD, turbidity, EC and heavy metals include Hg, Cd, Pb, Ni as well as percentage silt-clay and total organic matter of the sediment were measured. The faunal population density and their distribution are discussed in relation to the environmental changes. Results showed spatial heterogeneity in faunal distribution of the Zangi creek. Nine groups of macrofauna were identified out of distinct zangi creek. Polychaets formed the dominant group (48%) followed by bivalves (13%), gastropods (10%), Decapods (2%), Tanaids (5%), and all other groups (22%). The distinct creek was heavily polluted without any macrofauna communities probably as a consequence of the high pH, COD, low salinity and heavy metals contamination specially Cd and Pb. The other stations near to the disposal site were found with macrofauna communities commonly tolerant to organic pollution, At 3 km east of the disposal site, macrofauna is comparable to the surrounded creek, whereas macrofauna still indicate environmental degradation. Farther a way, faunal density decreases and equilibrium taxa gradually replace opportunistic species, while the other stations were far from polluted area contained lower pollution and relatively healthy macrofauna. The mean biomass of macrobenthic fauna were estimated for the whole studied area. The results are considered in Minimum density and biomass in surrounded creek and maximum density and biomass in 3 km of surrounded area. Biodiversity Indices were low in surrounded creek. The Shanon-weaver information index was used to describe the spatially variations in diversity. Macrofauna density, shanon and simpson index were significantly variable between surrounded and free parts of Zangi creek (p<0.05). The numerical abundance of macrobenthose varied from 221. m-2 in polluted area to 4346 m-2 in free part of Zangi creek. The Shanon-weaver information index varied from 0.4 in distinct area to 2.9 in reference station. The physico- chemical changes between distinct and free creeks showed significant variations such as pH, salinity and EC. Salinity and EC were significantly positive correlate to macrofauna density, whereas pH and TOM percentage indicated significantly negative correlation to density. Heavy metals concentrations in sediments were higher than water samples. Concentration pattern of heavy metals in sediments and water samples were Ni>Pb>Cd>Hg. Salinity and pH were significantly correlated to metals in sediments (p<0.01). No significant correlation were found between Macrofauna density and heavy metals (p<0.05).

Properties of tetrahedral amorphous carbon prepared by vacuum arc deposition

The structural, optical, electrical and physical properties of amorphous carbon deposited from the filtered plasma stream of a vacuum arc were investigated. The structure was determined by electron diffraction, neutron diffraction and energy loss spectroscopy and the tetrahedral coordination of the material was confirmed. The measurements gave a nearest neighbour distance of 1.53 Å, a bond angle of 110 and a coordination number of four. A model is proposed in which the compressive stress generated in the film by energetic ion impact produces pressure and temperature conditions lying well inside the region of the carbon phase diagram within which diamond is stable. The model is confirmed by measurements of stress and plasmon energy as a function of ion energy. The model also predicts the formation of sp2-rich materials on the surface owing to stress relaxation and this is confirmed by a study of the surface plasmon energy. Some nuclear magnetic resonance, infrared and optical properties are reported and the behaviour of diodes using tetrahedral amorphous carbon is discussed. © 1991.

Sorting nanoparticles by centrifugal fields in clean media

The on-demand availability of nanomaterials with selected size and well-defined chemical/physical properties is of fundamental importance for their widespread application. We report two clean, rapid, and non-destructive approaches for nanoparticle (NP) size selection in centrifugal fields. The first exploits rate zonal separation in a high viscosity gradient. The second exploits selective sedimentation of NPs with different sizes. These methods are here applied to metallic nanoparticles (MNPs) with different compositions and surface chemistry, dispersed either in water or organic solvents. The approach is general and can also be exploited for the separation of NPs of any material. We selectively sort both Au and AgNPs with sizes in the 10-30 nm range, achieving chemical-free MNPs with low polydispersivity. We do not use solutes, thus avoiding contamination, and only require low centrifugal fields, easily achievable in benchtop systems. © 2013 American Chemical Society.

Measurement of Residual Stresses in Ferroelectric Pb(Zr

The residual stresses in Pb(Zr0.3Ti0.7)O3thin films were measured by the \sin^{2}\Psi method using the normal X-ray incidence. The spacing of different planes (hkl) parallel to the film surface were converted to the spacing of a set of inclined planes (100). The angles between (100) and (hkl) were equivalent to the tilting angles of (100) from the normal of film surface. The residual stresses were extracted from the linear slope of the strain difference between the equivalent inclined direction and normal direction with respect to the \sin^{2}\Psi. The results were in consistency with that derived from the conventional \sin^{2}\Psi method.